Need to solve inequality

Question

Sqrt(x-5)=x

i need to find solution

I got all real numbers but I guess it was wrong

Answer 1

sqr(x-5) = x

square both sides to get

x-5 = x^2, solve for x

x^2 - x + 5 = 0

x = 1/2 + or - (1/2)sqr(1-20) = two imaginary solutions

x = 1/2 + or - (i/2)sqr19