Algebra and Applications Test 2

Question : 14 of 40

Marks: +1, -0

The values of x in the equation

1/{x-3}-1/{x+5}=1/6

are:

Solution:

1/{x-3}-1/{x+5}=1/6

{x+5-x+3}/{(x-3)(x+5)}=1/6

x^2 + 2x - 15 = 48

x^2 + 2x - 63 = 0

x^2 + 9x - 7x - 63 = 0

x (x + 9) - 7(x + 9) = 0

(x + 9) (x - 7) = 0

x = - 9, 7

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