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Intermediate Algebra – Student Workbook – Second Edition 2013

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Lesson 6b - Rational Exponents and Radical Functions<br />

Mini-Lesson<br />

SOLVE RADICAL EQUATIONS BY GRAPHING<br />

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<br />

<br />

<br />

<br />

<br />

Let y1 = one side of the equation<br />

Let y2 = other side of the equation<br />

Determine an appropriate window to see important parts of the graph<br />

Use the intersection method<br />

The x-value(s) of the intersection are your solutions<br />

Note: If your graphs do not cross, then there is no intersection and no solution to the<br />

equation.<br />

Problem 8<br />

WORKED EXAMPLE <strong>–</strong> SOLVE RADICAL EQUATIONS BY<br />

GRAPHING<br />

Solve the equation 10 3x 4 graphically.<br />

Let Y1 = 10 3x<br />

Let Y2 = 4<br />

Graph on the standard window (Zoom:6) then determine the intersection (seen below).<br />

Your solution is the x-value of the intersection which in this case is x = <strong>–</strong>2.<br />

Problem 9<br />

MEDIA EXAMPLE <strong>–</strong> SOLVE RADICAL EQUATIONS BY GRAPHING<br />

Solve the equation 2x 1<br />

5 0 graphically.<br />

Scottsdale Community College Page 271 <strong>Intermediate</strong> <strong>Algebra</strong>

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