Multiple Choice
Identify the
choice that best completes the statement or answers the question.
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Find the exact solution of the following quadratic equation by using the
Quadratic Formula.
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1.
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a. | {–12, 5} | c. | {–10, 24} | b. | {–5, 12} | d. | {60, 67} |
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2.
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Find the value of the discriminant. Then describe the number and type of
roots for the equation.
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3.
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a. | The discriminant is 244. Because the discriminant is greater than 0 and is not a
perfect square, the roots are real and irrational. | b. | The discriminant is –244. Because the
discriminant is less than 0, the two roots are complex. | c. | The discriminant is
–148. Because the discriminant is less than 0, the two roots are complex. | d. | The discriminant is
196. Because the discriminant is greater than 0 and is a perfect square, the two roots are real and
rational. |
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4.
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a. | The discriminant is –41.
Because the discriminant is less than 0, the two
roots are complex. | b. | The discriminant is –23.
Because the
discriminant is less than 0, the two roots are complex. | c. | The discriminant is
23.
Because the discriminant is greater than 0 and is a perfect square, the two roots are real and
rational. | d. | The discriminant is 9.
Because the discriminant is greater than 0 and is a perfect
square, the two roots are real and rational. |
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5.
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What is the solution set for  ?
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6.
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What are the solutions of  ?
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7.
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Which equation has two real, irrational solutions?
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