Solve: 1/x-3 - 1/x+5 = 1/6 , x is not equal to 3 , -5.
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3
Answer:
answer for the given problem is given
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1
Answer:
7 and -9
Step-by-step explanation:
1/x-3 - 1/x+5 = 1/6
x + 5 - x + 3/ ( x - 3 ) * ( x + 5 ) = 1/6
8/x² + 5x -3x -15 = 1/6
8/x² + 2x - 15 = 1/6
48 = x² + 2x - 15
48 = x² + 5x - 3x - 15
0 = x² + 2x - 15 -48
x² + 2x - 63 = 0
x² + 9x - 7x - 63 = 0
x(x + 9) - 7(x + 9) = 0
(x + 9) (x -7) = 0
If x + 9 = 0 ; Then x = -9
If x - 7 = 0 ; Then x = 7
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