Question

rezolvati in r x-radical din 2-x=0

Answer 1

$x-\sqrt{2-x}=0=\ \textgreater \ x=\sqrt{2-x}, \\ x \geq 0 \\ 2-x \geq 0 =\ \textgreater \ x \leq 2 \\ =\ \textgreater \ x \in [0,2] \\ =\ \textgreater \ x^2 = 2-x =\ \textgreater \ x^2+x-2=0 \\ \Delta = 1-4*(-2)=1+8=\ \textgreater \ \Delta = 9 =\ \textgreater \ x_{1,2}=\frac{-1 \pm 3}{2} =\ \textgreater \ \\ =\ \textgreater \ x_1=1 \ si \ x_2=-2 =\ \textgreater \ x_1 \ convine =\ \textgreater \ x=1$