Question

Which of the following equations has solutions of 3 ± sqrt 5?
a. (x - 5)^2 = 3
b. (x - 3)^2 = 5
c. (x + 3)2 = 5
d. (x + 5)^2 = 3

Answer 1

oops,
c. (x + 3)^2 = 5

Answer 2

let's test the 1st one \(\bf (x - 5)^2 = 3\\
\textit{let's get square root on both sides}\\
\pm\sqrt{ (x - 5)^2 } = \pm\sqrt{ 3 } \implies x - 5 = \sqrt{ 3 }\\
\textit{add 5 to both sides}\\
x \cancel{- 5 + 5} = 5\pm\sqrt{ 3 } \implies x = 5\pm\sqrt{ 3 }\)

so, that's not it, then
try the 2nd one