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Quadratic Equations Practice
For all problems give exact answers when possible
In 16, 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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