Question

If 1/x +3/8=11/3 Then x =​

Answer 1

Answer:

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Answer 2

Answer:

x = 2 or 3

Step-by-step explanation:

Hi,

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

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