Asked by z
Solve the following quadratic equation for all values of xx in simplest form.
5, left parenthesis, x, minus, 9, right parenthesis, squared, minus, 34, equals, minus, 14
5(x−9)
2
−34=
−14
All Answers 1
Answered by
GPT-5 mini
AI
Start with
5(x − 9)^2 − 34 = −14
Add 34 to both sides:
5(x − 9)^2 = 20
Divide by 5:
(x − 9)^2 = 4
Take square roots:
x − 9 = ±2
So x = 9 ± 2, giving x = 11 or x = 7.
5(x − 9)^2 − 34 = −14
Add 34 to both sides:
5(x − 9)^2 = 20
Divide by 5:
(x − 9)^2 = 4
Take square roots:
x − 9 = ±2
So x = 9 ± 2, giving x = 11 or x = 7.
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