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Intermediate Algebra – Student Workbook – Second Edition 2013

Intermediate Algebra – Student Workbook – Second Edition 2013

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Lesson 5b - Solving Quadratic Equations<br />

Practice Problems<br />

5. Solve each quadratic equation by using the Quadratic Formula.<br />

Place your given quadratic equation in standard form.<br />

Identify the coefficients a, b, c<br />

Substitute these values into the quadratic formula below<br />

Simplify your result completely then check your solution graphically and write your final<br />

solutions<br />

Label the x-intercepts on your graph.<br />

Quadratic Formula: x =<br />

b <br />

b<br />

2 4ac<br />

2a<br />

a) 2x 2 -2x - 4 = 0 (This one is a fill in the blank)<br />

( ) √( ) ( )( )<br />

( )<br />

( ) √( ) ( )<br />

( )<br />

( ) √( )<br />

( )<br />

( ) √( )<br />

( )<br />

and<br />

( ) √( )<br />

( )<br />

( ) ( )<br />

( )<br />

and<br />

( ) ( )<br />

( )<br />

( )<br />

( )<br />

and<br />

( )<br />

( )<br />

and<br />

Final solution x = -1, 2 (Be sure to verify graphically. Draw the graph and label the intersepts)<br />

Scottsdale Community College Page 231 <strong>Intermediate</strong> <strong>Algebra</strong>

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