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Solve each equation. Check for extraneous solutions.

  1. 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?

  1. 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?