Question

Solve x-1/x-4=x+1/x-2 o all real except 2, 4 0 3 no solution

Answer 1

Solution

Solve

$\frac{x-1}{x-4}=\frac{x+1}{x-2}$

Step 1: Evaluate and cross multiply

$\begin{gathered} \frac{x-1}{x-4}=\frac{x+1}{x-2} \\ x-1(x-2)=x+1(x-4) \\ x^2-2x-x+2=x^2-4x+x-4 \end{gathered}$

Step 2: Collect like terms

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