Solving rational equations

Everything You Need in One Place

Homework problems? Exam preparation? Trying to grasp a concept or just brushing up the basics? Our extensive help & practice library have got you covered.

Learn and Practise With Ease

Our proven video lessons ease you through problems quickly, and you get tonnes of friendly practise on questions that trip students up on tests and finals.

Instant and Unlimited Help

Our personalized learning platform enables you to instantly find the exact walkthrough to your specific type of question. Activate unlimited help now!

0/9
?
Examples
Lessons
  1. Solve the following rational equations:
    1. 33x=1+1x3-\frac{3}{x}=1+\frac{1}{x}
    2. 2x+15x=132x+\frac{15}{x}=13
  2. Solving Rational Equations by cross multiplying
    State the non-permissible values for the variable x, then solve algebraically.
    1. 8x+4=3x1 \frac{8}{x+4}=\frac{3}{x-1}
    2. 2x26x1=3x+49x+5 \frac{2x-2}{6x-1}=\frac{3x+4}{9x+5}
  3. Solve
    2x9+20x+9=80x281 \frac{2}{x-9}+\frac{20}{x+9}=\frac{80}{x^2-81}
    1. Solve the following equations algebraically:
      1. 2x+2+3x2=1\frac{2}{x+2}+\frac{3}{x-2}=1
      2. 2t3t13t+1t+2=1\frac{2t-3}{t-1}-\frac{3t+1}{t+2}=-1
    2. Solving Rational Equations by factoring
      State the non-permissible values for the variables, then solve algebraically.
      1. x25x+4(x1)=4 \frac{x^2-5x+4}{(x-1)}=-4
      2. x1x21=12x3\frac{x-1}{x^2-1}=\frac{1}{2x-3}
    Topic Notes
    ?
    In this lesson, we will learn how to state the non-permissible value(s) of rational equations and how to solve them algebraically.
    Always find the non-permissible values before solving the rational equations as some answers might have to be rejected.