By LearningExpress Editors

Updated on Aug 24, 2011

To review these concepts, go to Using the Quadratic Formula Study Guide.

### Practice

Find *a*, *b*, and *c* in the following quadratic equations.

- 4
*x*^{2}+ 8*x*+ 1 = 0 *x*^{2}– 4*x*+ 10 = 0- 2
*x*^{2}+ 3*x*= 0 - 6
*x*^{2}– 8 = 0 - 4
*x*^{2}= 7 - 3
*x*^{2}= 0 - 2
*x*^{2}= –3*x*+ 4 - 9
*x*^{2}+ 2 = 7*x*

Solve the equations using the quadratic formula.

- 4
*x*^{2}+ 8*x*= 0 - 3
*x*^{2}= 12*x* *x*^{2}– 25 = 0*x*^{2}+ 4*x*= 5*x*^{2}+ 4*x*– 21 = 0*x*^{2}+ 11*x*+ 30 = 0- 2
*x*^{2}+ 5*x*+ 3 = 0 - 6
*x*^{2}+ 1 = 5*x*

Solve the equations using the quadratic formula. Leave your answers in radical form.

*x*^{2}– 3*x*+ 1 = 0- 2
*x*^{2}– 2*x*= 5 *y*^{2}– 5*y*+ 2 = 0*r*^{2}– 7*r*– 3 = 0*x*^{2}– 3*x*– 5 = 0- 4
*x*^{2}– 5*x*– 1 = 0 *m*^{2}+ 11*m*– 1 = 0*x*^{2}+ 5*x*= 3- 2
*x*^{2}+ 3*x*+ 2 = 0 *x*^{2}– 4*x*+ 2 = 0- 3
*y*^{2}+ 3*y*– 3 = 0 *x*^{2}+ 2*x*– 6 = 0- 2
*x*^{2}+*x*– 5 = 0 *a*^{2}–*a*+ 1 = 0

#### Practice Application

- Find the height of an archway when the span is 160 ft. and the radius is 100 ft.

### Solutions

- 4,8,1
- 1,–4,10
- 2,3,0
- 6,0,–8
- 4,0,–7
- 3,0,0
- 2,3,–4
- 9,–7,2
- 0,–2
- 0,4
- 5,–5
- –5,1
- –7,3
- –5,–6
- 4±√2
- –2±√7

From Algebra Success in 20 Minutues A Day. Copyright © 2008 by LearningExpress, LLC. All Rights Reserved.

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