SOLUTION: three divided by the difference of x and 7 minus 2 divided by x plus 7 equals 3 times the reciprocal of the difference of x squared and 49 what is x

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Question 349765: three divided by the difference of x and 7 minus 2 divided by x plus 7 equals 3 times the reciprocal of the difference of x squared and 49 what is x
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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three divided by the difference of x and 7 minus 2 divided by x plus 7 equals
3 times the reciprocal of the difference of x squared and 49
what is x
:
Assume the problem is:
3%2F%28%28x-7%29%29-2%2F%28%28x%2B7%29%29 = 3%2A%281%2F%28x%5E2-49%29%29
:
x^2-49 is the difference of squares and can be factored
3%2F%28%28x-7%29%29-2%2F%28%28x%2B7%29%29 = 3%2A%281%2F%28%28x-7%29%28x%2B7%29%29%29%29
:
Multiply by (x-7)(x+7), clears the denominators and you have:
3(x+7) - 2(x-7) = 3
:
3x + 21 - 2x + 14 = 3
:
3x - 2x + 35 = 3
:
x = 3 - 35
:
x = -32