Question

solve the following ​

Answer 1

Answer:

9,7

Step-by-step explanation:

x+5-x+3 / (x-3) (x+5) = 1/6

8 = (x-3) (x+5) / 2x +8 /6

48 = x²+2x -15

x²-2x -63 = 0

x²-9x +7x -63

(x-9) (x-7)

x = 9,7

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Answer 2

Answer:

$\frac{1}{x - 3} - \frac{1}{x + 5} = \frac{1}{6}$

$\frac{(x + 5) - (x - 3)}{(x - 3)(x + 5)} = \frac{1}{6}$

$\frac{8}{( {x}^{2} + 2x - 15) } = \frac{1}{6}$

${x}^{2} + 2x - 15 = 48$

${x}^{2} + 2x - 63 = 0$

${x}^{2} + 9x - 7x - 63 = 0$

$x(x + 9) - 7(x + 9) = 0$

$(x - 7)(x + 9) = 0$

$x = 7 \: ,x = - 9$

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