Question

X+2
$\frac{x + 2}{x - 2} = \frac{x}{3}$
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Answer 1

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$\sf{\dfrac{x+2}{x-2}=\dfrac{x}{3}}\\\sf{x^2-2x=3x+6}\\\sf{x^2-2x-3x-6=0}\\\sf{x^2-5x-6=0}\\\sf{\Delta=b^2-4ac}\\\sf{\Delta=(-5)^2-4\cdot1\cdot(-6)}\\\sf{\Delta=25+24}\\\sf{\Delta=49}\\\sf{x=\dfrac{-b\pm\sqrt{\Delta}}{2a}}\\\sf{x=\dfrac{-(-5)\pm\sqrt{49}}{2\cdot1}}\\\sf{x=\dfrac{5\pm7}{2}}\begin{cases}\sf{x_1=\dfrac{5+7}{2}=\dfrac{12}{2}=6}\\\sf{x_2=\dfrac{5-7}{2}=-\dfrac{2}{2}=-1}\end{cases}$