Solve each rational equasion, show work.


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4+(7/x)=(1/-x^2)

Nov 13th, 2014

4+7/x = -1/x^2

Multiplying throughout by x^2

4x2+7x +1 =0

(2x)2+2*(2x)*7/4 +(7/4)2 =-1+49/16 =33/16

(2x+7/4)2 = (√33/4)2

(2x+7/4) = ± (√33)/4

2x = -7/4 ± (√33)/4

x = -7/8 ± (√33)/8


Nov 13th, 2014

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Nov 13th, 2014
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