Concept explainers
To determine the value of discriminant and determine the nature of roots of given equation. If the equation is factorable then we have to mention it.
Answer to Problem 7OE
Discriminant is 25
As the discriminant is positive perfect square so the roots are real, unequal and rational roots.
Explanation of Solution
Given information :
Given equation
Discriminant of the equation
Discriminant of the equation also helps us to understand the nature of the roots of the equation.
In the given equation we compare it with
As the discriminant is positive perfect square so the roots are real, unequal and rational roots.
If the discriminant of the equation is a perfect square then the equation can be solved by factoring. In this case it can be solved by factoring the equation.
Chapter 7 Solutions
Algebra and Trigonometry: Structure and Method, Book 2
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