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(b) The quadratic equation x² + px + q = 0 in which the coefficients p and q are real, has a complex root (1) Write down the other root of the equation. √5 – i. Find the sum and product of the two roots of the equation. Hence state the values of p and q.

(b) The quadratic equation x² + px + q = 0 in which the coefficients p and q are real, has a complex root (1) Write down the other root of the equation. √5 – i. Find the sum and product of the two roots of the equation. Hence state the values of p and q.

Advanced Engineering Mathematics
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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(b) The quadratic equation x² + px + q = 0 in which the coefficients p and q are real, has a complex root (1) Write down the other root of the equation. √5-i. Find the sum and product of the two roots of the equation. Hence state the values of p and q.
Transcribed Image Text:(b) The quadratic equation x² + px + q = 0 in which the coefficients p and q are real, has a complex root (1) Write down the other root of the equation. √5-i. Find the sum and product of the two roots of the equation. Hence state the values of p and q.
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