### 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?