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Concept explainers
(a)
To describe: The discriminant of the equation represented by the given graph.
(a)
![Check Mark](/static/check-mark.png)
Answer to Problem 3CFU
Explanation of Solution
Given information: The graph
Calculation:
Since the parabola from the figure, has the vertex tangent to x-axis, that means that the discriminant is zero. a, b, c are the coefficients of the
The solutions of the quadratic
Since the discriminant is zero, the quadratic has two equal solutions:
(b)
To describe: The discriminant of the equation represented by the given graph.
(b)
![Check Mark](/static/check-mark.png)
Answer to Problem 3CFU
Explanation of Solution
Given information: The graph
Calculation:
Since the parabola is not intercepting x-axis, then the discriminant is negative.
Since the discriminant delta is negative, we cannot determine the square root of a negative number, therefore there are no real roots for the quadratic whose discriminant is negative. But there are complex roots.
(c)
To describe: The discriminant of the equation represented by the given graph.
(c)
![Check Mark](/static/check-mark.png)
Answer to Problem 3CFU
Explanation of Solution
Given information: The graph
Calculation:
Since the parabola is intercepting x-axis, then the discriminant is positive.
Since delta is positive, the quadratic will have two different real solutions
Chapter 4 Solutions
Advanced Mathematical Concepts: Precalculus with Applications, Student Edition
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