Consider the following quadratic f(x) = x² – 9x + 2 with the roots a and ß. Suppose the new quadratic g(æ) = ² + pæ + q has the roots y = a + Band 8 = 1 + Find the coefficients pand qof the new quadratic correct to 2 decimal places. p= - 13.50, q = 40.50 p= -13.50, q = 0.22 p= 13.50, q = 42.50 not in the list p= 10.00, q = 10.00

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Consider the following quadratic f(x) = x² – 9x + 2 with the roots a and B.
Suppose the new quadratic g(x) = x? + px + q has the roots y = a + Band 8 = 1 +
Find the coefficients pand qof the new quadratic correct to 2 decimal places.
O p= - 13.50, q = 40.50
p= -13.50, q = 0.22
O p= 13.50, q = 42.50
not in the list
O p= 10.00, q = 10.00
Transcribed Image Text:Consider the following quadratic f(x) = x² – 9x + 2 with the roots a and B. Suppose the new quadratic g(x) = x? + px + q has the roots y = a + Band 8 = 1 + Find the coefficients pand qof the new quadratic correct to 2 decimal places. O p= - 13.50, q = 40.50 p= -13.50, q = 0.22 O p= 13.50, q = 42.50 not in the list O p= 10.00, q = 10.00
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