Quadratic equations are really important in math and science, and they have a special form that looks like 4x ^ 2 – 5x – 12 = 0. This equation has numbers (called coefficients) and a variable (x) in it, and it can help us find some special solutions.
To solve the problem 4x^2 – 5x – 12 = 0, we need to find the value of x that makes the equation true.
4x ^ 2 – 5x – 12 = 0 : Best Method of Solution
There are different ways to solve the quadratic equation, which is a math problem with x² in it. Some ways include breaking it down into two parts, making it into a square, or using a special formula. The formula is the most helpful for hard problems.
x=−b± (b2-4ac) square/2a
In our math problem, the numbers that go with the x’s are 4, -5, and -12.
Calculation
A calculation is when you use numbers to figure out an answer to a problem.
To solve our equation, we use a special formula called the quadratic formula. This formula helps us find the values of a, b, and c in our equation.
These solutions are like the special numbers that make the equation true. They are the values of x that make the equation work.
Significance and Applications
This means why something is important and how it can be used in everyday life.
Quadratic equations are really important in science and engineering. They help us figure out things like how long something will stay in the air when we throw it, or how high it will go. They also help us find the best answers in economics and figure out when things are balanced in chemical reactions. By understanding the different kinds of answers we can get from quadratic equations, we can learn more about how things work.
Let me explain this to you in a way you will understand. Imagine you have a favorite toy, like a teddy bear. If you were to share that teddy bear with your friend, that would be an example of sharing in the real world. Sharing means giving some of what you have to someone else so that both of you can enjoy it together.
Real-World Example
In physics, we use a special equation to figure out how something flies through the air. This can help us know when it will reach a certain height. In economics, we also use a similar equation to figure out the best way to make money. This equation can tell us when we will make the most or least profit.
conclusion
The conclusion is like the end of a story or a movie. It’s when everything comes together and we learn the final outcome or result. It’s like the last piece of a puzzle that helps us understand the whole picture.
The math problem 4x ^ 2 – 5x – 12 = 0 is like a special key that helps us learn about important things in science. When we figure out the answer, we can see how math is connected to everything in our world.