Question

The number of solution of the equation √x=x-2 is
A) 2
C) 0
B)1​

Answer 1

$\sqrt x=x-2\qquad(x\geq0)\\x=x^2-4\\x^2-x-4=0\\\Delta=(-1)^2-4\cdot 1\cdot(-4)=1+16=17>0\implies\text{A}$