SOLUTION: Solve this equation by using the quadratic formula. 3/x-7+4/x+2=1

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Question 970039: Solve this equation by using the quadratic formula. 3/x-7+4/x+2=1
Answer by thesvw(77) About Me  (Show Source):
You can put this solution on YOUR website!
3%2F%28x-7%29%2B4%2F%28x%2B2%29=1
Multiply by %28x-7%29%28x%2B2%29
3%28x%2B2%29+%2B4%28x-7%29=+%28x-7%29%28x%2B2%29
Expand...
3x%2B6%2B4x-28+=+x%5E2-5x-14
7x-22=+x%5E2-5x-14
x%5E2-2x-8=0 Okay! We have simplified it.
x+=+%282+%2B-sqrt%28+2%5E2-4%2A1%2A%28-8%29+%29%29%2F%282%2A1%29+
x+=+2%2F2%2B-sqrt%28+44+%29%2F2
x+=+1+%2B-+sqrt%2811%29
x+=+x+=+1+%2B+sqrt%2811%29 or x+=+1+-+sqrt%2811%29