Suppose the new quadratic g(x) = x + px + q has the roots y = a+B and & = + %3D %3D Find the coefficients p and q of the new quadratic correct to 2 decimal places.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question
Consider the following quadratic f(x) = x - 8x + 3 with the roots a and ß.
Suppose the new quadratic g(x) = x² + px + q has the roots y = a+ Band & = +.
%3D
%3D
Find the coefficients p and q of the new quadratic correct to 2 decimal places.
Select one:
p= 8.67, q = 8.67
p= 10.67, q = 23.33
p= -5.33, q = 21.33
not in the list
p= - 10.67, q = 21.33
Transcribed Image Text:Consider the following quadratic f(x) = x - 8x + 3 with the roots a and ß. Suppose the new quadratic g(x) = x² + px + q has the roots y = a+ Band & = +. %3D %3D Find the coefficients p and q of the new quadratic correct to 2 decimal places. Select one: p= 8.67, q = 8.67 p= 10.67, q = 23.33 p= -5.33, q = 21.33 not in the list p= - 10.67, q = 21.33
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