Question

1)Rezolverea ecuatiei : radical din 2x-1=x
2)Sa se rezolve in R ecuatiile:
a) radical din x-1+radical din 2-x=1

Answer 1

$x \geq 1 \\ 2x-1= x^{2} \\ x^{2} -2x+1=0 \\ (x-1)^2=0 \\ x-1=0 \\ x=1 \\ 2)x \geq 1;x \leq 2 \\ x-1+2-x+2 \sqrt{(x-1)(2-x)}=1 \\ 2 \sqrt{-x^2+3x-2}=0 \\ x^{2} -3x+2=0 \\ x=1;x=2$