a.
To find the value of c for which the equation has two solutions.
a.
Answer to Problem 59E
The value of c should be greater than 9.
Explanation of Solution
Given:
Equation:
Calculation:
On comparing the equation with
Finding the value of c.
For equation to have two solution discriminant must be greater than 0
Therefore,
Substituting the values,
Opening brackets,
So,
Therefore,
So,
Therefore, the value of c should be greater than 9.
b.
To find the value of c for which the equation has one solutions.
b.
Answer to Problem 59E
The value of c should be equal to 9.
Explanation of Solution
Given:
Equation:
Calculation:
On comparing the equation with
Finding the value of c.
For equation to have two solution discriminant must be equal to 0
Therefore,
Substituting the values,
Opening brackets,
So,
Therefore,
So,
Therefore, the value of c should be equal to 9.
c.
To find the value of c for which the equation has no solutions.
c.
Answer to Problem 59E
The value of c should be less than 9.
Explanation of Solution
Given:
Equation:
Calculation:
On comparing the equation with
Finding the value of c.
For equation to have two solution discriminant must be less than 0
Therefore,
Substituting the values,
Opening brackets,
So,
Therefore,
So,
Therefore, the value of c should be less than 9.
Chapter 9 Solutions
Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
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