Question

The number of solution of the equation √X= X-2 is
)2
B1
D) 4
C) 0​

Answer 1

$\sqrt x=x-2\qquad(x-2\geq0 \implies x\geq 2)\\x=x^2-4x+4\\x^2-5x+4=0\\x^2-x-4x+4=0\\x(x-1)-4(x-1)=0\\(x-4)(x-1)=0\\x=4 \vee x=1\\\\1\not>2 \implies x=4 \implies \text{B}$