SOLUTION: x/x+1 + 5/x = 1/x^2+x

Question 200903: x/x+1 + 5/x = 1/x^2+x
Answer by RAY100(1637) (Show Source): You can put this solution on YOUR website!
x/(x+1) + 5/x = 1/ ( x^2 +x)
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LCD = x (x+1) = x^2 +x,,,,,,,,,,multiply thru
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x(x) + 5(x+1) = 1
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x^2 +5x +5 =1
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x^2 +5x +4 =0
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(x+1) (x+4) =0
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x = -1,,-4
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check
for (-4),,,,(-4)/(-4+1) +5/(-4) = 1/ { (-4)^2 +(-4) }
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(-4/ -3 ) - ( 5/4) = 1 / 12
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( 16 -15 ) /12 = 1/12
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1/12 = 1/12 ,,,,,,,,,,ok
..
for (-1),,,,,start with,,,,,x^2 +5x +4 =0,, (-1)^2 +5(-1) +4 =0,,,, 1 -5 +4 =0,,,,,,ok
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