Home > CCA2 > Chapter 12 > Lesson 12.1.3 > Problem 12-45
12-45.
Solve each equation. Check for extraneous solutions.
Square both sides of the equation to remove the radical.
Set the equation equal to
because it is quadratic (there is an -term.) Factor the polynomial.
Use the Zero Product Property to solve.
Check your solutions in the original equation. Do they both work?
Notice that you can factor
to . Multiply both sides of the equation by a common denominator to remove the fractions.
Solve for
. Substitute your solution back into the original equation. Is
a valid solution to this problem?