1 x 3 1 x 5 1 6

Asked by admin @ in Math viewed by 352 People

Solve: 1/x-3 - 1/x+5 = 1/6 , x is not equal to 3 , -5.

Answered by admin @


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

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