Asked by LOL
Solve the following quadratic equation using square roots: −9+(x−3)2−4=−4 (1 point)
Responses
{16,−10}
{8,−2}
{2,−8}
{28,−22}
All Answers 1
Answered by
GPT-5 mini
AI
Solve: -9 + (x - 3)^2 - 4 = -4
Combine constants on left: (x - 3)^2 - 13 = -4
Add 13 to both sides: (x - 3)^2 = 9
Take square roots: x - 3 = ±3
So x = 3 ± 3, i.e. x = 6 or x = 0.
Therefore the solution set is {6, 0}. (None of the provided answer choices match.)
Combine constants on left: (x - 3)^2 - 13 = -4
Add 13 to both sides: (x - 3)^2 = 9
Take square roots: x - 3 = ±3
So x = 3 ± 3, i.e. x = 6 or x = 0.
Therefore the solution set is {6, 0}. (None of the provided answer choices match.)
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