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CBSE Class 10 Answered

dear Pawan sir , can you tell an easy way to solve this problem:- 1/{x+4} -1/{x-7}=11/30
Asked by Sakshi Kapoor | 23 Oct, 2013, 08:24: PM
answered-by-expert Expert Answer

1 / ( x +4) - 1 / (x - 7) = 11 / 30

(x - 7 - x - 4) / x 2 - 3 x - 28 = 11 / 30

-11 / x 2 - 3 x - 28 = 11 / 30

x2 - 3 x - 28 = - 30

x2 - 3x + 2 = 0

x2 -2x - x + 2 = 0

x ( x - 2) - 1 ( x - 2) = 0

( x - 2) ( x - 1) = 0

x - 2 = 0 or x - 1 = 0

x = 2 or x = 1

Answered by | 23 Oct, 2013, 10:52: PM

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