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प्रश्न
`1/x-1-1/(x+5)=6/7,x≠1,-5`
उत्तर
`1/x-1-1/(x+5)=6/7,x≠1,-5`
⇒` (x+5-x+1)/((x-1) (x+5))=6/7`
⇒`6/(x^2+4x-5)=6/7`
⇒`x^2+4x-5=7`
⇒`x^2+4x-12=0`
⇒`x^2+6x-2x-12=0`
⇒`x(x+6)-2(x+6)=0`
⇒`(x+6)(x-2)=0`
⇒`x+6=0 or x-2=0`
⇒` x=-6 or x=2`
Hence, -6 and 2 are the roots of the given equation.
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