SOLUTION: solve the provided proportion (-2)/(x-2)=(x-3)/(8x+11)

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Question 326662: solve the provided proportion
(-2)/(x-2)=(x-3)/(8x+11)
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
%28-2%29%2F%28x-2%29=%28x-3%29%2F%288x%2B11%29
%28-2%29%288x%2B11%29=%28x-2%29%28x-3%29
-16x-22=x%5E2-3x-2x%2B6
x%5E2-5x%2B5%2B16x%2B22=0
x%5E2%2B11x%2B27=0
Use the quadratic equation,
x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
x+=+%28-11+%2B-+sqrt%28+11%5E2-4%2A1%2A27+%29%29%2F%282%2A1%29+
x+=+%28-11+%2B-+sqrt%28+121-108%29%29%2F2+
highlight%28x+=+%28-11+%2B-+sqrt%28+13%29%29%2F2%29+