Extra Credit
Class ID: ____ Name: __________________________ Score: ________
DUE: FRIDAY, OCTOBER 25, 2013 BY 8:35AM
Math 1080 – 002 Fall 2013
Instructor: Katrina Johnson
Complete the following exercises. No credit will be given without supporting
work. You may use your notes or homework while completing these exercises.
You may NOT use any other reference materials or help from another
person while completing these exercises.
(2 pts. each) Solve each quadratic equation, by completing the square.
1. x 2 + 4 x − 32 = 0
2. 2 + 2x − x 2 = 0
3. 9x 2 −18x + 3 = 0
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4. 4 x 2 − 6x − 5 = 0
5.
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1 2
x − 2x −12 = 0
3
(15 pts.) 6. Consider the quadratic equation ux 2+vx + w = 0 , where u, v, and w
are real numbers and u ≠ 0 . Complete the square and solve for x.
Thus, show the
€ solutions are x =
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−v €
± v 2 − 4uw
2u
.