Concept explainers
(a)
Solve the equation and verify C’s results.
(a)
Answer to Problem 39WE
The roots are
Explanation of Solution
Given:
C solved the equation
Formula Used :
Roots of the standard
Calculation:
Given equation is
Compare it with the standard quadratic equation , a = 2 , b = -5 , c = 7.
So, the roots are :
So, the roots are
Now, sum of the roots :
Product of the roots :
Hence, C’s calculations are verified.
(b)
Find the sum and product of the roots of given equation.
(b)
Answer to Problem 39WE
Sum of the roots =
Product of the roots =
Explanation of Solution
Given:
The equation is
Formula Used :
Roots of the standard quadratic equation
Calculation:
Given equation is
Compare it with the standard quadratic equation , a = 2 , b = 13 , c = 11.
So, the roots are :
So, the roots are
Now, sum of the roots :
Product of the roots :
Hence,
Sum of the roots =
Product of the roots =
(c)
On the basis of part (a) and (b) , predict the sum and product of the roots of the equation
(c)
Answer to Problem 39WE
Sum of roots =
Product of roots =
Explanation of Solution
Calculation:
From part (a) and (b) :
For the equation
Sum of roots =
Product of roots
For the equation
Sum of the roots =
Product of the roots =
So, we can observe that for the equation
Sum of roots =
Product of roots =
Chapter 7 Solutions
Algebra and Trigonometry: Structure and Method, Book 2
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