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Published byPatrick Patrick Modified over 4 years ago

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Solving Equations Containing

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To solve an equation with a radical expression, you need to isolate the variable on one side of the equation. Factored out the GCF We will solve an equation together. Next

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Multiply by conjugate

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Don’t forget to check your work.

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Let’s solve another example together. Square each side Combine like terms Divide by 6 Square each side again Next

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Check: n=2 Since the root of x=2 does not check, it is called an extraneous solution.

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Check #2: n = 27 The solution is n=27.

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We will do this last example together. Add 10 to each side. Divide each side by 5. Cube each side.

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Check: y=3 Substitute into the original equation.

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Now, you do some on your own.

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A radical equation can also be solved graphically. Here is an example to do using your graphing calculator.

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The first step is to set each side of the equation equal to y so the equation looks like this: Now graph the equations on your calculator.

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Here is what the graphs should look like.

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Looking at the graph, the x-coordinate is the solution. Therefore the answer is 3. Try this one on your own. The answer is x = 1.25

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