
Concept explainers
a.
Verify that the statement is always, sometime and never true.
a.

Answer to Problem 45HP
The discriminant is never negative and the solutions are always real.
Explanation of Solution
Given information:
In a standard
Calculation:
If
b.
Verify that the statement is always, sometime and never true.
b.

Answer to Problem 45HP
The statement holds only sometimes.
Explanation of Solution
Given information:
if the discriminant of a quadratic equation is greater than
Calculation:
The roots will be irrational only if
Hence, the statement holds only sometimes.
Chapter 5 Solutions
Algebra 2
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