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Math 169: Test for Chapter 6, sections 3-4

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6.3 The discriminant and Writing Quadratic Equations from Solutions

____________________	1.	Determine the value of k for which the roots of the equation will be real and equal.

____________________	2.	Find a simple inequality that indicates the values of t for which the roots of will be real and unequal.

____________________	3.	Find a simple inequality that indicates the values of m for which the roots of will be imaginary.

____________________	4.	Calculate the value of the discriminant for the equation .

____________________	5.	For the equation in the previous problem, , are the roots rational, irrational, or imaginary?

____________________	6.	Calculate the value of the discriminant for the equation .

____________________	7.	For the equation in the previous problem, , are the roots rational, irrational, or imaginary?

____________________	8.	Calculate the value of the discriminant for the equation .

____________________	9.	For the equation in the previous problem, , are the roots rational, irrational, or imaginary?

Construct a quadratic equation in the form a x² + bx + c = 0 with the given roots for each of the next three problems.

____________________	10.

____________________	11.

____________________	12.

6.4 Solution of Quadratic Inequalities

Solve each of the following two inequalities by the "points of equality" method.

____________________	13.

____________________	14.

Solve each of the next two inequalities by the "product cases" method.

____________________	15.

____________________	16.

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