Question

Solve 3 - x = √x2 - 5 . State any
extraneous roots that you found.
Identify the values of x for which the
radical is defined.

Answer 1

do you mean

3 - x = sqrt (x^2 - 5) ??
if so

9 - 6 x + x^2 = x^2 - 5

6 x = 14

x = 7/3 = 2.33

x^2 - 5 must be +
so
|x| >/= sqrt 5 or 2.24