2. Reduce a general quadratic to a "depressed quadratic." a. Start with the general quadratic equation ax² + bx + c = 0 and make the substitution b x=y. Simplify and write in the form y² = D. Write out what D is equal to in 2a terms of a, b, c. b. Solve for y. c. Now solve for x using the original substitution. Does what you get look familiar? What is it?
2. Reduce a general quadratic to a "depressed quadratic." a. Start with the general quadratic equation ax² + bx + c = 0 and make the substitution b x=y. Simplify and write in the form y² = D. Write out what D is equal to in 2a terms of a, b, c. b. Solve for y. c. Now solve for x using the original substitution. Does what you get look familiar? What is it?
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.3: Quadratic Equations
Problem 82E
Question
Italian Algebra
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