Question

What constant do you need to add to each quadratic to complete the square?

Answer 1

Answer:

1. 4

2. 16

3. 9

Step-by-step explanation:

Completing the square requires a quadratic in $ax^2+bx=c$ form. Once in this form, calculate $(\frac{b}{2})^2$.

1. $(\frac{b}{2})^2=(\frac{-4}{2})^2=4$

2. $(\frac{b}{2})^2=(\frac{-8}{2})^2=16$

3. Requires you divide everything by 3 first.

$\frac{3x^2+18x}{3} =\frac{249}{3} \\x^2+6x=81$

$(\frac{b}{2})^2=(\frac{6}{2})^2=9$