Question

A=\(\dfrac{x-5}{|5-x|}\)= -1

Answer 1

\(A=\dfrac{x-5}{\left|5-x\right|}=-1\)

\(\Rightarrow-1\left|5-x\right|=x-5\Rightarrow\left|5-x\right|=5-x\)

\(\Rightarrow x\le5\)

Answer 2

\(A=\dfrac{x-5}{\left|5-x\right|}=-1\)

\(\Leftrightarrow x-5=-1\left|5-x\right|\)

\(\Leftrightarrow x-5=-5+x\)

\(\Leftrightarrow x-x-5=-5\)

\(\Rightarrow0-5=-5\)

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