Solving Radical Equations

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Radical Equations Powerpoint hosted on www.worldofteaching.com Please visit for 100’s more free powerpoints

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An equation in which a variable occurs in the radicand is called a radical equation. It should be noted, that when solving a radical equation algebraically, extraneous roots may be introduced when both sides of an equation are squared. Therefore, you must check your solutions for a radical equation. Solve: √ x - 3 - 3 = 0 √ x - 3 = 3 (√ x - 3 )2 = (3)2 x - 3 = 9 x = 12 Check: √ x - 3 - 3 √ 12 - 3 - 3 3 - 3 0 0 Therefore, the solution is x = 12. x ≥ 3 Radical Equations L.S. R.S.

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x = -1 is an extraneous solution.

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