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प्रश्न
Solve for x :
`1/(x + 1) + 3/(5x + 1) = 5/(x + 4), x != -1, -1/5, -4`
उत्तर
`1/(x + 1) + 3/(5x + 1) = 5/(x + 4), x != -1, -1/5, -4`
`=> (5x + 1+3x + 3)/((x + 1)(5x + 1)) = 5/(x+4)`
⇒(8x + 4)(x + 4) =5(x + 1)(5x + 1)
⇒8x2 + 32x + 4x + 16 = 5(5x2 +x + 5x +1)
⇒8x2 +36x +16 =25x2 +30x +5
⇒17x2 −6x −11 =0
⇒17x2 − 17x + 11x − 11 = 0
⇒17x(x − 1) + 11(x − 1) = 0
⇒(17x + 11)(x − 1) = 0
⇒17x + 11 = 0 or x − 1 = 0
`=> x = (-11)/17 or x = 1`
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