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Find all solutions of the equation

label Mathematics
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Find all solutions of the equation. Check your solutions in the original equation. (If there is no solution, enter NO SOLUTION.)

x
x2 − 25
 + 
1
x + 5
 = 2
Mar 8th, 2015

x/(x2-25)+1/(x+5) =2

Multiplying by (x2-25)

x+(x-5) =2(x2-25)

2x2 -2x-45=0

x = [2±sqrt(4+360)]/4 = [1±sqrt(91)]/2


Mar 8th, 2015

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