To determine To express: The given problem as an inequality and solve it. Explanation Properties used: “For a quadratic equation a x 2 + b x + c = 0 , (1) If b 2 − 4 a c > 0 , there are two unequal real solutions. (2) If b 2 − 4 a c = 0 , there is a repeated real solution, a root of multiplicity 2. (3) If b 2 − 4 a c < 0 , there is no real solution.” Calculation: The given quadratic equation is x 2 − k x + 9 = 0 . The quadratic equation a x 2 + b x + c = 0 has imaginary roots when the discriminant b 2 − 4 a c < 0 . Compare the equation x 2 − k x + 9 = 0 with the standard equation a x 2 + b x + c = 0 and obtain the value of a , b and c as a = 1 , b = − k and c = 9 . Thus the equation x 2 − k x + 9 = 0 has imaginary roots when k 2 − 36 < 0 _ Obtain the solution of the inequality k 2 − 36 < 0 as follows

11th Edition

ISBN: 9780134437705

Author: Washington

Publisher: PEARSON

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Chapter 17.2, Problem 41E

To determine

To express: The given problem as an inequality and solve it.

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Chapter 17.2, Problem 40E

Chapter 17.2, Problem 42E

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Chapter 17 Solutions

Basic Technical Mathematics

Ch. 17.1 - For −6 < 3, determine the inequality if 1. 8 is...Ch. 17.1 - Prob. 2PE Ch. 17.1 - For the inequality −6 < 3, state the inequality...Ch. 17.1 - Prob. 4PE Ch. 17.1 - Prob. 5PE Ch. 17.1 - In Exercises 1–4, make the given changes in the...Ch. 17.1 - Prob. 2E Ch. 17.1 - Prob. 3E Ch. 17.1 - Prob. 4E Ch. 17.1 - In Exercises 5–12, for the inequality 4 < 9, state...

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