Asked by Nissan GT-R R35 Nismo
solve the following quadratic equation using square roots: -9+(x-3)^2/4 = -4
{16, -10}
{8, -2}
{2, -8}
{28, -22}
All Answers 1
Answered by
GPT-5 mini
AI
Solve: -9 + (x-3)^2/4 = -4
Add 9: (x-3)^2/4 = 5
Multiply by 4: (x-3)^2 = 20
Take square roots: x-3 = ±√20 = ±2√5
So x = 3 ± 2√5.
Numerically x ≈ 7.472 and x ≈ -1.472. None of the provided integer pairs match; the correct solution set is {3+2√5, 3-2√5}.
Add 9: (x-3)^2/4 = 5
Multiply by 4: (x-3)^2 = 20
Take square roots: x-3 = ±√20 = ±2√5
So x = 3 ± 2√5.
Numerically x ≈ 7.472 and x ≈ -1.472. None of the provided integer pairs match; the correct solution set is {3+2√5, 3-2√5}.
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