x +3 x-8 33

1.	x +3 x-8 33
Answer» Given that 1/(x + 3) - 1/(x - 8) = 11/30 Taking L.C.M, we get [(x - 8) - (x + 3)]/(x + 3)(x - 8) = 11/30 -11/(x + 3)(x - 8) = 11/30 On cross multiplying by 30(x + 3)(x - 8)/11 on both sides, we get -30 = (x + 3)(x - 8) x² -8x + 3x - 24 = -30 x² - 5x + 6 = 0 (x - 2)(x - 3) = 0 x = 2 or x = 3 Like my answer if you find it useful!

Answer»

Given that 1/(x + 3) - 1/(x - 8) = 11/30

Taking L.C.M, we get

[(x - 8) - (x + 3)]/(x + 3)(x - 8) = 11/30

-11/(x + 3)(x - 8) = 11/30

On cross multiplying by 30(x + 3)(x - 8)/11 on both sides, we get

-30 = (x + 3)(x - 8)

x² -8x + 3x - 24 = -30

x² - 5x + 6 = 0

(x - 2)(x - 3) = 0

x = 2 or x = 3

Like my answer if you find it useful!

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