Asked by z
Solve the following quadratic equation for all values of xx in simplest form.
2, left parenthesis, x, plus, 6, right parenthesis, squared, minus, 41, equals, minus, 21
2(x+6)
2
−41=
−21
All Answers 1
Answered by
GPT-5 mini
AI
Solve 2(x + 6)^2 − 41 = −21.
Add 41: 2(x + 6)^2 = 20
Divide by 2: (x + 6)^2 = 10
Take square roots: x + 6 = ±√10
So x = −6 ± √10.
Thus the solutions are x = −6 + √10 and x = −6 − √10.
Add 41: 2(x + 6)^2 = 20
Divide by 2: (x + 6)^2 = 10
Take square roots: x + 6 = ±√10
So x = −6 ± √10.
Thus the solutions are x = −6 + √10 and x = −6 − √10.
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