Intermediate Algebra
Which of the following is a rational equation?
Find the restrictions, if any, on xx for the equation x−2x2−5x+6=1x−3\(\displaystyle\]\frac{x-2}{x^2-5x+6}\)=\(\frac{1}{x-3}\).
Solve the rational equation 2x+3x+2=1\(\displaystyle\]\frac{2}{x}\)+\(\frac{3}{x+2}\)=1:
Solve the rational equation x+1x−2+2x+1=4x−2\(\displaystyle\]\frac{x+1}{x-2}\)+\(\frac{2}{x+1}\)=\(\frac{4}{x-2}\).
Which of the following sequences is the correct and complete order of actions to solve a nontrivial rational equation with variable denominators?