Question

Solve the equation for all values of x by completing the square.

Answer 1

The answer for x is 2,-4

Explanation:

x²+2x-8=0

x²+2x=8

x²+2x+[2×1/2]=8+[2×1/2]

x²+2x+(1)²=8+(1)²

[x+1]²=8+1

[x+1]²=9

take square root of both sides

√[x+1]²=±√9

x+1=±3

x=3-1 or -3-1

x=2,4