(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.

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter1: Equations And Graphs
Section1.5: Complex Numbers
Problem 4E
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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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