A method used to rearrange a quadratic equation into a squared part and a number. this can allow you to find the vertex of a quadratic or solve a quadratic relatively easily.

Question

asked Mar 9, 2019 232k views

2 Answers

Dusty Vargas · Answer 1 · 2019-03-15T04:30:49+0000

Answer with explanation:

Consider the Quadratic Polynomial

$ax^2+b x+c=a(x^2+(bx)/(a)+(c)/(a))\\\\=a[(x+(b)/(2a))^2+(c)/(a)-((b)/(2a))^2]$

Squared Part is
a(x+(b)/(2a))^2

Number is
a[(c)/(a)-((b)/(2a))^2]

This Method is called Completing the Square.

In this method we ,divide the term containing x by 2,and then reduce it in the form of either (a+b)² or (a-b)².