5. -21 =x + 10x a. Standard form: b. Coefficients: a = c. Discriminant: d. Nature of roots: b= C= e. Roots:

Elementary Algebra
17th Edition
ISBN:9780998625713
Author:Lynn Marecek, MaryAnne Anthony-Smith
Publisher:Lynn Marecek, MaryAnne Anthony-Smith
Chapter10: Quadratic Equations
Section: Chapter Questions
Problem 332PT: Use the discriminant to determine the number of solutions of each quadratic equation. 332....
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#5 only on A.
A. For the following quadratic ecquations, (a) write cach in standard form; (b) identify the
coefficients a, b, and c (c) determine the discriminant: (d) describe the nature of roots; and
(c) verify the nature by solving its roots,
1. = 10
a. Standard form:
b. Coefficients: a=
c. Discriminant:
d. Nature of roots:
Take the Written Assignments
=D9
c.
Roots:
2. 2x-18= (0
a. Standard form:
b. Coefficients: a =
= 9
C.
Discriminant:
d. Nature of roots:
e. Roots:
3. (x-7) = -1
a. Standard form:
b. Coefficients: a =
c. Discriminant:
d. Nature of roots:
= 9
e. Roots:
4. x+ 2x + 1 = 0
a. Standard form:
b. Coefficients: a =
C.
Discriminant:
d. Nature of roots:
Roots:
5. -21 = x + 10x
Standard form:
b. Coefficients: a =
c. Discriminant:
d. Nature of roots:
e.
a.
e. Roots:
B. Use the values obtained in test A to solve for the following: (a) -~, (b) –,
(c) sum of the
roots, and (d) product of the roots. Then, answer the questions that follow.
1. a.
C. sum of the roots:
a
b.
d. product of the roots:
a
10
Dynamic Minds: A Math Workbook 9
Transcribed Image Text:A. For the following quadratic ecquations, (a) write cach in standard form; (b) identify the coefficients a, b, and c (c) determine the discriminant: (d) describe the nature of roots; and (c) verify the nature by solving its roots, 1. = 10 a. Standard form: b. Coefficients: a= c. Discriminant: d. Nature of roots: Take the Written Assignments =D9 c. Roots: 2. 2x-18= (0 a. Standard form: b. Coefficients: a = = 9 C. Discriminant: d. Nature of roots: e. Roots: 3. (x-7) = -1 a. Standard form: b. Coefficients: a = c. Discriminant: d. Nature of roots: = 9 e. Roots: 4. x+ 2x + 1 = 0 a. Standard form: b. Coefficients: a = C. Discriminant: d. Nature of roots: Roots: 5. -21 = x + 10x Standard form: b. Coefficients: a = c. Discriminant: d. Nature of roots: e. a. e. Roots: B. Use the values obtained in test A to solve for the following: (a) -~, (b) –, (c) sum of the roots, and (d) product of the roots. Then, answer the questions that follow. 1. a. C. sum of the roots: a b. d. product of the roots: a 10 Dynamic Minds: A Math Workbook 9
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