Concept explainers
a.
To find: The correct option of the graph which matches with the given discriminant.
a.
Answer to Problem 74E
The required correct option is C.
Explanation of Solution
Given information:
The discriminant:
The options of discriminant:
A.
B.
C.
The given discriminant is
The above discriminant of an
This means the graph of the equation which has 2 real solutions has 2 x -intercepts.
So, the above discriminant matches with graph in option C.
Hence, the required correct option is C.
b.
To find: The correct option of the graph which matches with the given discriminant.
b.
Answer to Problem 74E
The required correct option is A.
Explanation of Solution
Given information:
The discriminant:
The options of discriminant:
A.
B.
C.
The given discriminant is
The above discriminant of an quadratic equation indicates that the equation has 1 solution which is a real number.
This means the graph of the equation which has 1 real solution touches the x -axis on its vertex.
So, the above discriminant matches with graph in option A.
Hence, the required correct option is A.
c.
To find: The correct option of the graph which matches with the given discriminant.
c.
Answer to Problem 74E
The required correct option is B.
Explanation of Solution
Given information:
The discriminant:
The options of discriminant:
A.
B.
C.
The given discriminant is
The above discriminant of an quadratic equation indicates that the equation has no solution which is a real number.
This means the graph of the equation which has no real solution does not touch or intersect the x -axis.
So, the above discriminant matches with graph in option B.
Hence, the required correct option is B.
Chapter 9 Solutions
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