Question

1/(x-3)-1/(x+5)=1/6 where X is not equal to 3 ,-5 solve the following​

Answer 1

Answer:

x= -9,x=7

explanation

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

x+5-x+3/x²+2x-15= 1/6 ( by taking L.C.M )

8/x²+2x-15= 1/6 ( by 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 (Ans)

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