How do you solve using the completing the square method x^2+2x-7=17?

2 Answers
May 14, 2017

The solution is x=4 or x=-6.

Explanation:

We have:

x^2+2x-7=17

Adding 8 to both sides completes the square on the left.

x^2+2x+1=25

Completing squares gives:

(x+1)^2=5^2

Taking square roots gives:

x+1=+-5

This gives:

x=4 or x=-6

May 14, 2017

{-6;4}

Explanation:

x^2+2x−7=17

=> x^2 +2x +1 = 25
=> (x+1)^2 = 25
=> x+1 = 5 or x+1 =-5
=> x = 4 or x = -6