the-rational-equation-x-1x-2-2x-1-4x-2-show-algebraic-steps-and-any-restrictions

Question

Solve the rational equation x+1x−2+2x+1=4x−2\displaystyle\frac{x+1}{x-2}+\frac{2}{x+1}=\frac{4}{x-2}.

Accepted Answer

x=−7x=-\sqrt7x=7x=\sqrt7

Answer

x=1x = 1 only

Answer

x=2x = 2 x=−1x = -1

Answer

No solution

Solve the rational equation x+1x−2+2x+1=4x−2\(\displaystyle\]\frac{x+1}{x-2}\)+\(\frac{2}{x+1}\)=\(\frac{4}{x-2}\).