Question

x-2÷x-4=x+4÷x-2 find the value of x?

Answer 1

hope this helps you ☺☺☺

Answer 2

The answer is given below :

Now,

$\frac{x - 2}{x - 4} = \frac{x + 4}{x - 2} \\ \\ or \: \: (x - 2)(x - 2) = (x + 4)(x - 4) \\ \\ or \: \: {x}^{2} - 2x - 2x + 4 = {x}^{2} - 4x + 4x - 16 \\ \\ or \: \: {x}^{2} - 4x + 4 = {x}^{2} - 16 \\ \\ cancelling \: \: {x}^{2} \: \: we \: \: get \\ \\ - 4x + 4 = - 16 \\ \\ or \: \: 4x = 4 + 16 \\ \\ or \: \: 4x = 20 \\ \\ or \: \: x = 5$

So, the required solution is x = 5.

Thank you for your question.