Help with a quick algebra question?

label Algebra
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Determine whether x =3 is a solution of the equation

(1/x-7) + (1/x+7) = 6/ x^2-49

please explain how

Feb 15th, 2015

Input x=3 into the left side of the equation:

(1/x-7) + (1/x+7)=1/(3-7)+1/(3+7)=-1/4+1/10=-5/20+2/20=-3/20

Input x=3 into the right side of the equation:

6/ x^2-49=6/(3^2-49)=6/(9-49)=6/(-40)=-3/20= value of left side

Therefore x=3 is a solution of the equation

Feb 15th, 2015

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Feb 15th, 2015
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