 To solve a rational equation:
Step 1 Exclude values that cause division
by zero.
Step 2 Multiply both sides by the least
common dominator and simplify
Step 3 Solve the resulting equation
Step 4 Check each solution to make sure
it is not one of the excluded
values; that is, division by zero is not permitted.
Any value that is
excluded in this manner is called an extraneous root.
 Property of Powers
If P and Q are algebraic expressions in a variable x,
and n is any positive integer, then the solution set
of P = Q is a subset of the solution set of P ^{n} = Q ^{n}. The equation P ^{n}
= Q ^{n}is called a derived equation of P = Q.
< Back
to Section 3





© 2011 Karl J. Smith. All rights reserved. 