Question 701287

how do i solve for x: x/(x-5)-2/(x+5)=50/(x^2-25)


{{{x/(x - 5) - 2/(x + 5) = 50/(x^2 - 25)}}}______**Note: {{{x <> 5}}}


x(x + 5) - 2(x - 5) = 50 ------ Multiplying by LCD, (x - 5)(x + 5), or {{{x^2 - 25}}}


{{{x^2 + 5x - 2x + 10 = 50}}}


{{{x^2 + 3x - 40 = 0}}}


(x - 5)(x + 8) = 0


x = 5 (ignore as {{{x <> 5}}} as stated earlier)


{{{highlight_green(x = - 8)}}}


You can do the check!!


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