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Concept explainers
(a)
Write a
(a)
![Check Mark](/static/check-mark.png)
Answer to Problem 44HP
The equation:
Explanation of Solution
Given:
Concept Used:
A double root occurs when the curves vertex is on the x − axis.
Consider
Calculation:
A double root occurs when the curves vertex is on the x − axis.
Consider | ![]() |
Thus, the graph
(b)
Write a quadratic equation that has one rational root and one integral root.
(b)
![Check Mark](/static/check-mark.png)
Answer to Problem 44HP
The equation is
Explanation of Solution
Given:
Concept Used:
To have one rational root and one integral root, find two binomials where one equals an integer and there other a rational number.
Consider
Calculation:
Consider the equation:
Solve for x using the zero product property.
Thus, the equation is
(c)
Write a quadratic equation that has two additive opposites.
(c)
![Check Mark](/static/check-mark.png)
Answer to Problem 44HP
The equation:
Explanation of Solution
Given:
Concept Used:
To have two distinct integral roots those are additive opposites.
Consider the equation:
Calculation:
Consider the equation:
Solve for x using the zero product property.
Thus, the equation:
Chapter 9 Solutions
Algebra 1
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