# Quadratic Equations Practice

**For all problems give exact answers when possible**

In 1-6, solve each quadratic using at least two different
methods: graphing, factoring, the Quadratic

Formula by hand , and/or with the DQUAD program. Show your work.

1. x^{2} + 9x + 20 = 0

2. x^{2} − 5x + 6 = 0

3. 2x^{2} − 72 = 0

4. x^{2} + 3x +1 = 0

5. 7x^{2} = 3x +11

6. x^{2} = 2x +15

7. Graph the following quadratic equation:

x^{2} − 2x − 63 = 0

a) Factor the quadratic

b) Give the solutions to the equation

c) Use the Quadratic Formula to check your answer to b

8. The height, h, in feet of an object above the ground is
given by: h(t) = −16t^{2} + 64t + 192

where t is time in seconds.

a) at what time does the object hit the ground?

b) how high is the object when it was thrown?

c) Determine h(2)

d) Determine t if h(t) = 50ft

9. Determine a quadratic equation with solutions 8 and -10.

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