Find the values of a, b, and c such that the equation y=ax2+bx+c has ordered pair solutions (1,12), (−1,−4), and (0,−2). To do so, substitute each ordered pair solution into the equation. Each time, the result is an equation in three unknowns, a, b, and c. Then solve the resulting system of three linear equations in three unknowns, a, b, and c
Find the values of a, b, and c such that the equation y=ax2+bx+c has ordered pair solutions (1,12), (−1,−4), and (0,−2). To do so, substitute each ordered pair solution into the equation. Each time, the result is an equation in three unknowns, a, b, and c. Then solve the resulting system of three linear equations in three unknowns, a, b, and c
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter6: Matrices And Determinants
Section6.1: Matrices And Systems Of Linear Equations
Problem 1E: If a system of linear equations has infinitely many solutions, then the system is called _____ . If...
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Find the values of a, b, and c such that the equation
y=ax2+bx+c
has ordered pair solutions
(1,12),
(−1,−4),
and
(0,−2).
To do so, substitute each ordered pair solution into the equation. Each time, the result is an equation in three unknowns, a, b, and c. Then solve the resulting system of three linear equations in three unknowns, a, b, and c. Expert Solution
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