Concept explainers
To state: The number of roots of the equation
Answer to Problem 42E
Explanation of Solution
Given information:
Calculation:
The equation is of the third order,
Let’s factor out 4x from the first three terms,
We are trying to express the first three terms as a square of a binomial.
So we expect 3 solutions
(Some real, some maybe complex)
Luckily enough, the other terms fall into place and we have common parentheses
Factor out 2 from the second parentheses,
So, by the Zero product property,
One root is
The other two we get using the
Thus,
Chapter 5 Solutions
Advanced Mathematical Concepts: Precalculus with Applications, Student Edition
Additional Math Textbook Solutions
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