a)
To evaluate: the discriminant and the solution of equation.
a)
Answer to Problem 45PPE
The discriminant is 16 and the solution is
Explanation of Solution
Given: Equation is given as
Taking the given equation,
Finding the discriminant,
So, the discriminant is 16.
Now finding the solution,
Hence, the solution is
b)
To evaluate: the discriminant and the solution of equation.
b)
Answer to Problem 45PPE
The discriminant is 81 and the solution is
Explanation of Solution
Given: Equation is given as
Taking the given equation,
Finding the discriminant,
So, the discriminant is 81.
Now finding the solution,
Hence, the solution is
c)
To evaluate: the discriminant and the solution of equation.
c)
Answer to Problem 45PPE
The discriminant is 73 and the solution is
Explanation of Solution
Taking the given equation,
Finding the discriminant,
So, the discriminant is 73.
Now finding the solution,
Hence, the solution is
c)
To explain: if the discriminant is a perfect square then solutions are rational or irrational.
c)
Answer to Problem 45PPE
Equation will have rational roots.
Explanation of Solution
It can be seen from the part b), that when the discriminant is perfect square then the equation has rational roots.
So, equation will have rational roots.
Chapter 9 Solutions
High School Math 2015 Common Core Algebra 1 Student Edition Grade 8/9
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