Find the values of a, b, and c such that the equation y=ax2+bx+c has ordered pair solutions (1,8), (−1,−6), and (0,−3). 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 (1,8), (−1,−6), and (0,−3). 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.
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter9: Systems Of Linear Equations
Section9.7: Puzzle Problems
Problem 20P
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Question
Find the values of a, b, and c such that the equation
y=ax2+bx+c
has ordered pair solutions
(1,8),
(−1,−6),
and
(0,−3).
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.
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