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Published byMichelle Hoffman Modified over 4 years ago

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Solving Radical Equations

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The simplest kind of radical equation is one like this

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To solve it, you need only square both sides of the equation.

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Of course, most radical equations are not that simple. Usually there are several terms on each side.

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So the first step in solving a radical equation is to get it in a form similar to the first problem we looked at; that is, get the radical alone on one side of the equation. Then square both sides of the equation and solve the resulting equation.

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Example Subtract 2 from each side. Divide both sides by 2. Square both sides Subtract 1

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Lets practice a few. Solve:

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Check your answers. Solve X=81 X=49 X=9

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Apply your understanding Solve Find a number such that the square root of 3 less than twice the number is equal to 3. (write the equation and then solve it)

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Check your answer. Write an equation Square both sides Add 3 to both sides Divide both sides by 2

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5.3 Solving Quadratic Functions with Square Roots Step 1: Add or subtract constant to both sides. Step 2: Divide or multiply coefficient of “x” to both.

5.3 Solving Quadratic Functions with Square Roots Step 1: Add or subtract constant to both sides. Step 2: Divide or multiply coefficient of “x” to both.

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