the answer is 14
One possible solution is 5 + i√3.
(there are 2 solutions 5 + i√3 and 5 - i√3).
(x - 5)^2 + 5 = 2
(x - 5)^2 = -3
Take square roots of both sides:
x - 5 = √-3
x - 5 = i√3
x = 5 ± i√3.
The solutions are both complex numbers.
x = 14
the expression takes the form of a radical surd. to solve a radical surd we need to isolate the expression with the root from those not under the root sign
this a surd, so
to eliminate the root we need to multiply it by an expression that will take it away,
since a root is the same as a power of half ()^1/2, then multiplying a half by two will make it one
we need to square both sides to eliminate the root
x -5 = (-3)^2
make x subject
x = 9 + 5
x = 14