(a) Given that 2+i is a complex root of the cubic polynomial r³ −11x+20, determine the other two roots (without using a calculator). (b) Hence, (and without using a calculator) determine 37 x³ - 11x + for some a, √7³- (Hint: Use the result of part (a) to write 20 dx. x³ - 11x + 20 = (x − a)(x² + bx + c) b and c, and use partial fractions.)
(a) Given that 2+i is a complex root of the cubic polynomial r³ −11x+20, determine the other two roots (without using a calculator). (b) Hence, (and without using a calculator) determine 37 x³ - 11x + for some a, √7³- (Hint: Use the result of part (a) to write 20 dx. x³ - 11x + 20 = (x − a)(x² + bx + c) b and c, and use partial fractions.)
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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Question
![1. (a) Given that 2+i is a complex root of the cubic polynomial ³-11x+20, determine
the other two roots (without using a calculator).
(b) Hence, (and without using a calculator) determine
37
- 11x + 20
(Hint: Use the result of part (a) to write
dx.
x³ - 11x + 20 = (x − a)(x² + bx + c)
for some a, b and c, and use partial fractions.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6e455177-8597-4b0f-a327-739cc80f9923%2F045dd2e2-61ac-4f4c-9f37-23d4697c713e%2Fhgr121_processed.png&w=3840&q=75)
Transcribed Image Text:1. (a) Given that 2+i is a complex root of the cubic polynomial ³-11x+20, determine
the other two roots (without using a calculator).
(b) Hence, (and without using a calculator) determine
37
- 11x + 20
(Hint: Use the result of part (a) to write
dx.
x³ - 11x + 20 = (x − a)(x² + bx + c)
for some a, b and c, and use partial fractions.)
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