Question

solve for x x+4/x-2 - 4-x/x = 5/2​

Answer 1

Answer:

+ 4 / − 2 − 4 − 1 ⋅ / = 5 /2

Step-by-step explanation:

Answer 2

$\huge\red{Thanks \: for \: your \: question} \\ \\ \blue{Your \: required \: answer :} \\ \\ \green{Given :} \\ \\ = = > \frac{x + 4}{x - 2} - \frac{4 - x}{x} = \frac{5}{2} \\ \\ = = > \frac{x(x + 4) - (x - 2)(4 - x)}{x(x - 2)} = \frac{5}{2} \\ \\ \purple{To find :} \\ \\ Value \: of \: x \\ \\ \orange{Solution :} \\ \\==> \frac{x(x + 4) - (x - 2)(4 - x)}{x(x - 2)} = \frac{5}{2} \: \\ \\ = = > \frac{x {}^{2} + 4x - 4x + x {}^{2} + 8 + 2x}{x {}^{2} - 2x } = \frac{5}{2} \\ \\ </p><p>Now \: cross \: multiplying : </p><p> \\ \\ = = > 5x {}^{2} - 10x = 2x {}^{2} + 8x - 8x + 2x {}^{2} + 16 + 4x \\ \\ = = > 5x {}^{2} - 10x = 4x {}^{2} + 4x - 16 \\ \\ = = > 5x {}^{2} - 4x {}^{2} - 10x + 4x = + 16 \\ \\ = = > x {}^{2} - 6x + 16 = 0 \\ \\ \pink{Now \: by \: substitution \: method : } \\ \\ = = > x {}^{2} + 8x - 2x + 16 = 0 \\ \\ = = > x(x - 8) + 2(x - 8) \\ \\ = = > (x + 2)(x - 8) \\ \\ →x = - 2 \\ \\ →x = 8 \\ \\ \red{Brainliest \: Please}$