Solve for r in the following equation (frac{1}{r – 1}) + (frac{2}{r + 1}) =…

Solve for r in the following equation (frac{1}{r – 1}) + (frac{2}{r + 1}) = (frac{3}{r})

Correct Answer: Option A

Explanation

(frac{1}{r – 1}) + (frac{2}{r + 1}) = (frac{3}{r})
Multiply through by r(r -1) which is the LCM
= (r)(r + 1) + 2(r)(r – 1)
= 3(r – 1)(r + 1)
= r² + r + 2r² – 2r
3r² – 3 = 3r²
r = 3r² – 3
-r = -3
∴ r = 3