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?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Italian Algebra
Transcribed Image Text: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?
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