4x^2 – 5x – 12 = 0 : Quadratic equations are like a key that can unlock exciting adventures in math. In this blog, we will focus on solving a specific equation, 4x^2 – 5x – 12 = 0. Quadratic equations are important in different areas of science and math. So, let’s get started and learn how to solve this equation and how it can help us understand things better.

A quadratic equation is a math problem that has an x squared term in it. It’s like a puzzle that we have to solve using math.

Simply put, quadratic equations are math problems with variables that are squared.

This is a special math equation that has three numbers in it: a, b, and c. The equation looks like this: a times x squared plus b times x plus c equals zero.

Let’s say we have some numbers called a, b, and c, and a special letter called x. We want to figure out what value of x will make an equation true.

Also Read: x*x*x is equal to 2 : Comprehensive Guide to solve and Prove it

Overview of 4x^2 – 5x – 12 = 0 quadratic equations

In the equation 4 times a number squared minus 5 times the same number minus 12 equals zero, the numbers that are multiplied by the variables are called coefficients.

A is equal to 4, B is less than 5, and C is equal to negative ( 4x ^ 2 – 5x – 12 = 0)

When we change around this math problem, we can see that it looks like a special kind of math problem called a quadratic equation.

A quadratic equation is like a special math puzzle. It has a special shape that looks like a U or an upside-down U. It always has a variable squared, which means that the number is multiplied by itself. Quadratic equations can have different numbers and symbols, but they always follow the same pattern.

Quadratic equations have special traits that are important for understanding and solving them. These traits help us figure out how to solve the equations.

A quadratic equation is like a curved line that looks like a U or an upside-down U. The point at the very bottom or top of the curve is called the vertex. The curve is also the same on both sides, so it looks the same if you flip it.

By understanding these traits, we can learn more about how they act and how they can be used in the real world.

Method of solving Quadratic 4x^2 – 5x – 12 = 0 Equation

By following these steps and doing some calculations, we can find the two solutions to this equation.

There are different ways to find the answer to the math problem 4 times x squared minus 5 times x minus 12 equals 0. We are going to learn about two of these ways.

1. Quadratic Formula:

Quadratic formula

This is a special formula that helps us find the solutions to a math problem involving quadratic equations. It looks like this: (-b ± √(b^2 – 4ac)) / 2a. Factoring Method: This is a way to break down a math problem into smaller pieces to make it easier to solve.

Now, let’s look at each of them so we can understand them better.

2. Factoring Method

Factoring method is a way to break down a number into smaller numbers that can be multiplied together to get the original number.

You can only use the factoring method when the equation can be broken down into smaller parts. This method helps you solve the equation by finding those smaller parts and solving them one by one.

To find the answer to the equation 4 times a number squared minus 5 times the number minus 12 equals zero, you need to figure out what two groups of numbers can be multiplied together to get the equation.

This equation can be written as two smaller equations: 2 times some number plus 3 times some number equals 0, and 2 times some number minus 4 times some number equals 0.

If we make each part equal to zero, we get two problems to solve: 2x + 3 = 0 and 2x – 4 = 0.

When you figure out these two math problems, you will know what number x is equal to. The answer is x= -3/2 and x=2.

The quadratic formula is a special equation that helps us find the answer to certain math problems. It is like a magic formula that tells us how to solve equations that have x^2 (x squared) in them. It has three parts – a, b, and c – that we need to know to use the formula. Once we plug in these numbers, the formula will give us the answer to our math problem. It’s like a secret code that helps us solve tricky equations!

The quadratic formula is a special way to find the answers to math problems called quadratic equations. It is a very important formula because it can always give us an answer, even if the problem seems tricky and hard to solve.

We have a special formula that helps us solve this equation. The equation has some numbers and a letter called x. We want to find the value of x that makes the equation true. The formula helps us do that.

This formula helps us find the value of x in a math problem. We use it when we have numbers for a, b, and c. The formula helps us figure out what x equals by plugging in those numbers.

This is a way to write down a rule or equation that helps us solve problems or understand how things work. It shows us how different parts or numbers are connected to each other.

There are three numbers: 4, -5, and -12.

Once we put this into the formula, we can easily figure out the answers for x.

After doing some math, we figured out that x is either -1.5 or 2.

Real World Applications

Real world applications mean using something in real life, like using math to measure how tall a building is or using science to cook food.

Quadratic equations are math problems that are used in different areas like economics, engineering, and physics. They help solve real-life situations like building things, studying motion, and understanding how objects fly through the air.

Conclusion

The conclusion is like the ending of a story or the final part of something. It is when we sum up or wrap up everything that we have talked about or done. It helps us understand the main points or ideas and gives us a sense of closure.

We have been studying a math problem called a quadratic equation. It looks like this: 4x^2 – 5x – 12 = 0. We learned two different ways to solve this problem: one is called factoring and the other is called the quadratic formula. By using these methods, we were able to find the answer for x. Understanding quadratic equations is really useful because it helps us solve many different kinds of math problems.

FAQ: 4x^2 – 5x – 12 = 0

What is a Quadratic Equation?

A quadratic equation is a special kind of math problem that has a variable (like x) raised to the power of 2 (squared). It’s like a puzzle where we need to find the value of the variable that makes the equation true.

Who is called the person who first discovered and created the quadratic equation?

Muhammed ibn Musa al-Khwarizmi was a smart person who lived a long time ago and did important math work.

Solving math problems like 58: 2x^2 – 9x^2; 5 – 3x + y + 6 can be tricky, but it’s an important skill to learn. In this article, we’ll go through the steps of solving this equation one by one. We’ll learn different ways to make it simpler and figure out the values of ‘x’ and ‘y’ that make the equation true. By the end of the article, you’ll feel more confident about solving equations and be ready to tackle more challenging problems.

Both equations are ways of showing relationships between numbers. We can use them to solve problems and find out what the values of x and y are.

Also Read: Solution of x*x*x is equal to 2 Equation

Know all about 58: 2x^2 – 9x^2; 5 – 3x + y + 6 Education

Before we solve the problem, let’s look at the equation closely: 58 divided by (2 times x squared minus 9 times x squared) equals 5 minus 3 times x plus y plus 6. This equation has three different parts: 2x squared, -9x squared, and 5 minus 3x plus y plus 6. Our goal is to find the values of ‘x’ and ‘y’ that make this equation true.

Combining terms

Combining like terms means putting together numbers or variables that are the same. It’s like grouping things that are alike to make math problems easier to solve.

We need to make the equation simpler. We have two terms that have x^2, which are 2x^2 and -9x^2. When we put them together, we get -7x^2. The equation now looks like this: 58: -7x^2; 5 – 3x + y + 6.

Isolating Variables

Isolating ‘x’ means separating ‘x’ from the other numbers or letters in the equation so we can solve for its value.

Solitude ‘x’

To keep working on finding the numbers for ‘x,’ we want to make it all by itself on one side of the problem. We’ll move any parts with ‘x’ to the left and the numbers that don’t have ‘x’ to the right.

Solitude ‘y’

There are some numbers and letters in this equation. If we solve it, we can find the value of the letter y.

Keeping ‘y’ by itself or separating ‘y’ from the other numbers or variables.

To find out what ‘y’ is, we have to make sure it’s all by itself on one side of the math problem.

Solution Using the Quadratic Formula

After we have squared the “x” number, we need to multiply it by 7. Finally, we subtract this result from the original 58. To make this easier for a child to understand, we can break it down into smaller steps. So, in simpler terms, the equation is telling us to take the number 58, subtract the sum of 5 and 6, and then subtract the result of multiplying 7 by the square of a number “x”. First, we have the number 58. Then, we need to do some calculations. We need to add 5 and 6 together, which equals 11. Next, we need to multiply this 11 by another number, which is represented by the “x” in the equation. Lastly, we need to square this “x” number, which means multiplying it by itself.

The Quadratic Formula is like a special tool that helps us find the answer to math problems with quadratic equations. It’s like a magical formula that tells us the values of x when we have a quadratic equation.

x = (-b ± √(b^2 – 4ac)) / 2a

Since there is a special term in the equation (-7x^2), we can use a special formula to find the answers for ‘x’. This formula helps us figure out the values of ‘x’ in the equation ax^2 + bx + c = 0.

This is a formula to find the value of x in a math problem. It involves using numbers called a, b, and c to solve for x.

Let’s say we have a problem where we need to find the value of something. In this problem, we have three numbers: -7, 0, and a number that we don’t know yet. We can put these numbers into a special formula called the quadratic formula to find the answer. When we do that, we will get the value of the unknown number.

x = (± √(0 – 4*(-7)(58 – (5 + 6) + y))) / 2(-7)

Checking the solutions means making sure the answers are correct.

After figuring out the numbers for ‘x’, it’s important to double check them by putting them back into the original problem. This way we can make sure we got the right answer.

A graphical representation is a picture or drawing that shows information in a visual way.

Another way to find the answers is by drawing a picture of the equation on a graph. We can see where the line crosses the x-axis to figure out the solutions for ‘x.’ This also helps us understand how the equation works.

The end or final result.

Solving equations 58: 2x^2 – 9x^2; 5 – 3x + y + 6 is important and can be used in lots of different types of math. In this article, we figured out the answer to a tricky 58: 2x^2 – 9x^2; 5 – 3x + y + 6 equation by using different ways to solve it. Learning these methods can help you solve other equations too.

Hello everyone! Today we’ll be talking about an important math problem x*x*x is equal to 2 that helps solve difficult questions in science and math. Math has been really helpful in finding answers to tricky problems x*x*x is equal to 2 for a long time.

Also Read: x²-11x+28=0

How to solve the problem “x*x*x is equal to 2“

Let’s see how to solve the problem “x*x*x is equal to 2” using math, and learn more about algebra along the way.

In math, we use equations like x*x*x is equal to 2 to help us understand and solve problems. Math is like the special language scientists use to figure things out.

A lot of people want to know more about this math problem where you have to figure out what number times itself three times equals 2. This article can help you solve that problem.

Process or step to solve Math Equation x*x*x is equal to 2

We will talk about it in detail, learning about its history and looking at books about it to help you understand how it works. This will help you understand calculus and arithmetic better, which are really interesting subjects.

Therefore, there isn’t a simple solution to this equation.

Before we can solve the equation ” x*x*x is equal to 2“, we need to review some basic math rules. Let’s break it down step by step.

What does the second number in the equation represent?

We want to figure out where the explanation goes and the number two. This is what we are trying to find or achieve. Scientists have been really interested in finding the answer to this equation for a really long time.

Figure out what number X represents.

We want to figure out the number x in the equation x cubed equals 2. It’s tough to find the exact number of x that makes this equation work. Sometimes we get weird numbers when we try to solve for x, showing us how unusual math can be.

The value of the cube root of 2.

Math can be hard, but some people think it’s fun. Math people figured out that the cube root of 2 is not a regular number. This led them to create a special kind of number called an irrational number. It can’t be written as a simple fraction and its decimal goes on forever without repeating.

What does the equation’s second number mean?

In order to understand this math problem better, it’s important to know about its history and how it has changed over time. Knowing the background and how it has evolved can help us understand why it’s important to learn more about this equation.

1. Analyze the value of X
2. Value of the ∛2

Pioneering effort

The pioneering effort is when people try to do something new or different that hasn’t been done before. It’s like exploring and discovering new things.

Greek mathematicians were really smart and figured out a tricky math problem that people all over the world were trying to solve. Their hard work led to important discoveries in math that still help us today.

Know difference b/w Real Number and Madeup Number

A real number is a number that actually exists, like the number of fingers on your hand. A made-up number is a number that someone just imagines, like a unicorn with five horns.

When we have three of the same number multiplied together, it can be hard to figure out if the answer is a real number or an imaginary number. This interesting problem shows how math can be tricky and motivates scientists to explore new ideas and make exciting discoveries.

Conclusion

The conclusion is like the ending of a story where you sum up everything that happened and share your final thoughts or feelings about it. It’s like the last puzzle piece that helps you understand the whole picture.

Math is really cool because there is always more to learn and understand about numbers. In this equation, we don’t know exactly what number “x” is, but we are trying to figure it out. Every day, we discover new things and it’s impossible to remember everything. We hope this will help you understand the equation better.