Question

Solve the following quadratic equation using square roots: (x+6)22=8
.(1 point)
Responses

{−1.17,−6.83}

left brace negative 1.17 comma negative 6.83 right brace

​ {−0.34,−11.66}

​ left brace negative 0.34 comma negative 11.66 right brace

{10,−22}

left brace 10 comma negative 22 right brace

{−2,−10}

Answer 1

I need to check the exact equation — " (x+6)22=8 " is ambiguous. If the equation is (x+6)^2 = 8 (the usual meaning of "square"), then

x + 6 = ±√8 = ±2√2
x = -6 ± 2√2

So the solutions are x = -6 + 2√2 ≈ -3.17 and x = -6 - 2√2 ≈ -8.83.

None of the provided multiple‑choice answer sets match those values. If you meant a different equation (for example 2(x+6)^2 = 8 or 22(x+6) = 8), tell me the exact form and I will solve that.