Question

x-2/x-4 = x+4/x-2 solve the equation ​

Answer 1

$\frac{x - 2}{x - 4} = \frac{x + 4}{x - 2} \\ (x - 2)(x - 2) = (x + 4)(x - 4) \\ {(x - 2)}^{2} = {x}^{2} - {4}^{2} \\ {x }^{2} + 4 - 4x = {x}^{2} - 16 \\ - 4x = - 16 - 4 \\ - 4x = - 20 \\ x = 5$

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Answer 2

Answer:

x=5

Step-by-step explanation:

$\frac{(x - 2}{(x - 4)} = \frac{(x + 4)}{(x - 2)} \\ = > transposing.$

→ (x-2)²=x²-16

→x²+4-4x=x²-16

→-4x=-20

→x= -20/-4

→x=5

ans.