Question

Solve the following quadratic equation using square roots: (x−7)2−94=0
(
𝑥
−
7
)
2
−
9
4
=
0
.(1 point)
Responses

{10.61,3.39}
{
10.61
,
3.39
}

left brace 10.61 comma 3.39 right brace

{2,−16}
{
2
,
−
16
}

left brace 2 comma negative 16 right brace

{−4,−10}
{
−
4
,
−
10
}

left brace negative 4 comma negative 10 right brace

{10,4}

Answer 1

Solve (x − 7)^2 − 94 = 0:

(x − 7)^2 = 94
x − 7 = ±√94
x = 7 ± √94

Exact solutions: x = 7 + √94 and x = 7 − √94.
Decimal approximations: x ≈ 16.695 and x ≈ −2.695.

None of the given multiple‑choice answers match these values (it looks like there may be a typo in the problem; the choice {10.61, 3.39} would match x = 7 ± √13).