Question

2(x+2) supra x-1 = x+1 supra x-2

Answer 1

2(x+2)/x-1=x+2/x-2
2x+4/x-1=x+1/x-2
(2x+4)*(x-2)=(x-1)*(x+1)
2x²-4x+4x-8=x²-1
2x²-8=x²-1
2x²-x²=-1+8
x²=7
x=√7

Answer 2

$\it\dfrac{2(x+2)}{x-1} =\dfrac{x+1}{x-2}$

Avem o proportie si aplicand proprietatea fundamentala obtinem:

$\it x^2 = 7 \Longleftrightarrow \sqrt{x^2} =\sqrt7 \Longleftrightarrow |x| =\sqrt7 \Longleftrightarrow x= \pm \sqrt7$