Quadratic Function: Quadratic Formula | Prove

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     As we have discussed earlier, a general quadratic function will have the form of f(x) = ax² + bx + c,  where a, b and c are constants and a ≠ 0. Now, I would like to the quadratic formula to you. What exactly is a quadratic formula? A quadratic formula is used to solve a given quadratic function. When we talk about solving a quadratic function, it simply means finding the roots of the quadratic function. Some of you might be curious what is a root? The root that the plant has in their system? No!! The roots of a quadratic function refer the the positions (values of x) on the x-axis at which the quadratic function intersect with the x-axis in a Cartesian Plane. The quadratic formula is given as 


    Today, we will going to prove the quadratic formula shown above by using the method of Completing The Square. We will start from the general quadratic function.

(Proven)
    

    Hence, we have proven the Quadratic Formula which is used to find the roots of a particular quadratic function. I hope that it can give you a better understanding whenever you apply the formula to solve a quadratic function. Lastly, please do not forget to LIKE, SHARE and SUBSCRIBE to my blog and my YouTube channel as well. Thank you!

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