Question 62876
6/x-2 + 7/x^2-4 = (x+3)/(x+2)
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The LCM is (x-2)(x+2) or x^2-4
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Multiply thru by the LCM to get:
6(x+2)+7 = (x+3)(x-2)
6x+19=x^2+x-6
x^2-5x-25=0
x=[5+-sqrt(25-4(-25)]/2
x=[5+-5sqrt5]/2
x=(5/2)(1+sqrt5) or x=(5/2)(1-sqrt5)
Cheers,
Stan H.