(1/x)-(5/x^2) = (8/5x)

I am in Pre-Calculus. What i need to know is how to solve this rational equation.
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1 Answer

Take out the factor 1/x on the left side: (1/x)(1-5/x)=(8/5)(1/x). The factor 1/x can be cancelled out on both sides leaving 1-5/x=8/5. Remove the fractions by multiplying through by 5x: 5x-25=8x; 3x=-25, so x=-25/3 or -(8 1/3). 1/x=-3/25.

Check in original equation: -3/25-5*9/625=-3/25-9/125=-(15+9)/125=-24/125=-(8*3)/(5*25). Right!

by Top Rated User (1.2m points)

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