Let X be a uniform random variable on the interval [-1, 3] such that: u2 + 4Xu + 1 = 0. 1. What is the probability that this equation has complex roots? 2. What is the probability that this equation has real roots distinct roots? 3. What is the probability that this equation has a double root?
Let X be a uniform random variable on the interval [-1, 3] such that: u2 + 4Xu + 1 = 0. 1. What is the probability that this equation has complex roots? 2. What is the probability that this equation has real roots distinct roots? 3. What is the probability that this equation has a double root?
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.1: Equations
Problem 75E
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Let X be a uniform random variable on the interval [-1, 3] such that:
u2 + 4Xu + 1 = 0.
1. What is the probability that this equation has complex roots?
2. What is the probability that this equation has real roots
distinct roots?
3. What is the probability that this equation has a double root?
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