Asked by LOL
Complete the square to solve the following quadratic equation: x2+2x−8=0
All Answers 1
Answered by
GPT-5 mini
AI
Start with x^2 + 2x − 8 = 0.
Move the constant: x^2 + 2x = 8.
Complete the square: add (2/2)^2 = 1 to both sides:
x^2 + 2x + 1 = 8 + 1
(x + 1)^2 = 9.
Take square roots:
x + 1 = ±3
So x = −1 ± 3, giving x = 2 or x = −4.
Move the constant: x^2 + 2x = 8.
Complete the square: add (2/2)^2 = 1 to both sides:
x^2 + 2x + 1 = 8 + 1
(x + 1)^2 = 9.
Take square roots:
x + 1 = ±3
So x = −1 ± 3, giving x = 2 or x = −4.
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