Question

Solve: 1/x-3 - 1/x+5 = 1/6 by formula method

Answer 1

Answer:

hello...

bro.....

this is your answer.......

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

x+5-x+3/x²+2x-15= 1/6 (taking lcm)

8/x²+2x-15= 1/6

on cross multination

8*6=x²+2x-15

x²+2x-15-48=0

x²+2x-63=0

x²+(9x-7x) -63=0

x²+9x-7x-63=0

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

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

x= -9,x=7

hope this will help you mate...........

please mark me as brainliest..........

pleaseeeee..........

Answer 2

$\frac{1}{x - 3} - \frac{1}{x + 5} = \frac{1}{6} \\ \\ \\ \frac{x + 5 -( x - 3)}{(x - 3)(x + 5)} = \frac{1}{6} \\ \\ \\ \frac{x + 5 - x + 3}{ {x}^{2} + 2x - 15} = \frac{1}{6} \\ \\ \frac{8}{ {x}^{2} + 2x - 15} = \frac{1}{6} \\ \\ 48 = {x}^{2} + 2x - 15 \\ \\ {x}^{2} + 2x - 63 = 0 \\ \\ {x}^{2} + 9x - 7x - 63 = 0 \\ \\ x(x + 9) - 7(x + 9) \\ \\ (x + 9)(x - 7) \\ \\ x = - 9 \: or \: x = 7 \\ \\ mark \: me \: as \: brainliest$