Question

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

​ {−0.34,−11.66}
​ left brace negative 0.34 comma negative 11.66 right brace

{−1.17,−6.83}
left brace negative 1.17 comma negative 6.83 right brace

{10,−22}
left brace 10 comma negative 22 right brace

{−2,−10}

Answer 1

Interpreting the equation as (x + 6)^2 = 8:

Take square roots: x + 6 = ±√8 = ±2√2
So x = -6 ± 2√2.

Decimal approximations: x ≈ -3.172 and x ≈ -8.828.

None of the four answer choices match these values, so either the problem was mistyped or the choices are wrong. If you meant a different equation (for example 22·(x+6) = 8 or (x+6)^2 = 32), tell me and I’ll solve that.