SOLUTION: (6/x+2)+(5/x-1)=(3x/x^2+x-2)

Algebra ->  Numeric Fractions Calculators, Lesson and Practice -> SOLUTION: (6/x+2)+(5/x-1)=(3x/x^2+x-2)      Log On


   

Question 988156: (6/x+2)+(5/x-1)=(3x/x^2+x-2)
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
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6%2F%28x%2B2%29%2B5%2F%28x-1%29=3x%2F%28x%5E2%2Bx-2%29
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6%2F%28x%2B2%29%2B5%2F%28x-1%29=3x%2F%28%28x%2B2%29%28x-1%29%29 Multiply through by x+2.
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6%2B%285%28x%2B2%29%29%2F%28x-1%29=3x%2F%28x-1%29 Multiply through by x-1.
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6%28x-1%29%2B5%28x%2B2%29=3x
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6x-6%2B5x%2B10=3x
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11x%2B4=3x
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8x=-4
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x=-0.5
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CHECK:
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6%2F%28x%2B2%29%2B5%2F%28x-1%29=3x%2F%28x%5E2%2Bx-2%29
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6%2F%28-0.5%2B2%29%2B5%2F%28-0.5-1%29=3%28-0.5%29%2F%28%28-0.5%29%5E2-0.5-2%29
6%2F1.5%2B5%2F-1.5=%28-1.5%29%2F-2.25
4-3.33=0.67
0.67=0.67