Question

Complete the square for 3x^2-6x=21. leave your answer in the form (____)^2=(____)

Answer 1

X^2-2x=7
x^2-2x+1=7+1
(x-1) ^2=8

Answer 2

Answer: (x - 1)² = 8

Step-by-step explanation:

3x² - 6x = 21

÷3   ÷3   ÷3

 x² - 2x = 7

x² - 2x + ___ = 7 + ___

     ↓         ↑              ↑

   $\frac{-2}{2} = (-1)^{2}$

x² - 2x + 1 = 7 + 1

    (x - 1)²     =  8