Question

2.-2/(x-2)=x-2/-3

Answer 1

\(\dfrac{2.-2}{x-2}=\dfrac{x-2}{-3}\)

\(\Rightarrow\left(x-2\right)^2=\left(-4\right).\left(-3\right)=12\)

\(\Rightarrow\left[{}\begin{matrix}x-2=2\sqrt{3}\\x-2=-2\sqrt{3}\end{matrix}\right.\)\(\Rightarrow\left[{}\begin{matrix}x=2+2\sqrt{3}\\x=2-2\sqrt{3}\end{matrix}\right.\)

Answer 2

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