F. Answer the following. 1) Without solving for the actual roots, find the sum and product of the roots of the equations. a. 2t² + 5t-14 = 0 b.x² - 2x + 4 = 0 2) 2. Form the quadratic equation having a sum of roots of 2 and a product of roots of - 24.

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....
icon
Related questions
Question
F. Answer the following.
1) Without solving for the actual roots, find the sum and product of the roots of the equations.
a. 2t² + 5t
14 = 0
b. x² - 2x + 4 = 0
2) 2. Form the quadratic equation having a sum of roots of 2 and a product of roots of - 24.
Transcribed Image Text:F. Answer the following. 1) Without solving for the actual roots, find the sum and product of the roots of the equations. a. 2t² + 5t 14 = 0 b. x² - 2x + 4 = 0 2) 2. Form the quadratic equation having a sum of roots of 2 and a product of roots of - 24.
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Recommended textbooks for you
Elementary Algebra
Elementary Algebra
Algebra
ISBN:
9780998625713
Author:
Lynn Marecek, MaryAnne Anthony-Smith
Publisher:
OpenStax - Rice University
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage