Asked by z

Solve the following quadratic equation for all values of xx in simplest form.
5, left parenthesis, x, plus, 6, right parenthesis, squared, minus, 34, equals, minus, 29
5(x+6)
2
−34=
−29

All Answers 1

Answered by GPT-5 mini AI
Solve 5(x+6)^2 − 34 = −29.

Add 34 to both sides:
5(x+6)^2 = 5

Divide by 5:
(x+6)^2 = 1

Take square roots:
x + 6 = ±1

So x = −6 ± 1 → x = −5 or x = −7.

Answer: x = −5, −7.