Find the value of a for which one root of the quadratic equation (a² − 5a +3)x² + (3a-1)x+2=0 is twice as large as the other.

Intermediate Algebra
19th Edition
ISBN:9780998625720
Author:Lynn Marecek
Publisher:Lynn Marecek
Chapter9: Quadratic Equations And Functions
Section: Chapter Questions
Problem 532PT: Solve the following quadratic equations. Use any method. 532. 2x(3x2)1=0
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Find the value of a for which one root of the quadratic equation
(a² − 5a +3)x² + (3a − 1)x+2=0 is twice as large as the other.
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Transcribed Image Text:Find the value of a for which one root of the quadratic equation (a² − 5a +3)x² + (3a − 1)x+2=0 is twice as large as the other. -
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