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Solve the Following Quadratic Equations by Factorization: `1/(X-1)-1/(X+5)=6/7` , X ≠ 1, -5 - CBSE Class 10 - Mathematics

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Question

Solve the following quadratic equations by factorization:

`1/(x-1)-1/(x+5)=6/7` , x ≠ 1, -5

Solution

We have been given

`1/(x-1)-1/(x+5)=6/7`

`6/(x^2+4x-5)=6/7`

x2 + 4x - 12 = 0

x2 + 6x - 2x - 12 = 0

x(x + 6) - 2(x + 6) = 0

(x + 6)(x - 2) = 0

Therefore,

x - 2 = 0

x = 2

or,

x + 6 = 0

x = -6

Hence, x = 2 or x = -6

  Is there an error in this question or solution?

APPEARS IN

Solution Solve the Following Quadratic Equations by Factorization: `1/(X-1)-1/(X+5)=6/7` , X ≠ 1, -5 Concept: Solutions of Quadratic Equations by Factorization.
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