(a) Explanation Formula used: For a quadratic equation in standard form, a x 2 + b x + c = 0 , a ≠ 0 , the quadratic formula is x = − b ± b 2 − 4 a c 2 a . The solution of the quadratic equation is x = − b ± b 2 − 4 a c 2 a . The radicand of the quadratic formula is b 2 − 4 a c . Given that, the discriminant b 2 − 4 a c is greater than zero (b) To determine To find: The number of real solution will the quadratic equation have if the discriminant b 2 − 4 a c is equal to 0. (c) To determine To find: The number of real solution will the quadratic equation have if the discriminant b 2 − 4 a c is less than 0.

A Survey of Mathematics with Applications (10th Edition) - Standalone book

10th Edition

ISBN: 9780134112107

Author: Allen R. Angel, Christine D. Abbott, Dennis Runde

Publisher: PEARSON

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Chapter 6.9, Problem 84E

(a)

To determine

To find: The number of real solution will the quadratic equation have if the discriminant b2−4ac is greater than 0.

(b)

To determine

To find: The number of real solution will the quadratic equation have if the discriminant b2−4ac is equal to 0.

(c)

To determine

To find: The number of real solution will the quadratic equation have if the discriminant b2−4ac is less than 0.

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Chapter 6.9, Problem 83E

Chapter 6.9, Problem 85E

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Chapter 6 Solutions

A Survey of Mathematics with Applications (10th Edition) - Standalone book

Ch. 6.1 - A letter of the alphabet used to represent numbers...Ch. 6.1 - Prob. 2E Ch. 6.1 - A collection of variables, numbers, grouping...Ch. 6.1 - The number or numbers that replace the variable to...Ch. 6.1 - The parts that are added or subtracted in an...Ch. 6.1 - Terms that have the same variables with the same...Ch. 6.1 - The numerical part of a term is called its...Ch. 6.1 - Prob. 8E Ch. 6.1 - Prob. 9E Ch. 6.1 - Prob. 10E

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The number of real solution will the quadratic equation have if the discriminant b 2 − 4 a c is greater than 0.

Solution Summary: The author explains that the quadratic equation has two real solutions if the discriminant b2-4ac is greater than 0.

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To find: The number of real solution will the quadratic equation have if the discriminant b2−4ac is greater than 0.

To find: The number of real solution will the quadratic equation have if the discriminant b2−4ac is equal to 0.

To find: The number of real solution will the quadratic equation have if the discriminant b2−4ac is less than 0.

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