If alpha and bita are the zeros of the quadratic
polynomial p(s) = 3s² – 6s +4, find the value
Alpha/bita+bita/alpha+2(1/alpha+1/bita)+3alpha*bita
Answers
Answered by
518
༒ Given ➽
α and β are the zeros of the polynomial
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༒ To Calculate ➽
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༒ Key point ➽
For any quadratic polynomial
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༒ Solution ➽
Here,
α + β = 2
and
Now,
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Answered by
260
Answer:
Given :-
- If α and β are the zeros of the quadratic polynomial p(s) = 3s² - 6s + 4.
To Find :-
- What is the value of α/β + β/α + 2(1/α + 1/β) + 3αβ.
Solution :-
Given Equation :
where,
- a = 3
- b = - 6
- c = 4
First, we have to find the sum and product of roots :
As we know that,
Sum of roots Formula :
We have :
- a = 3
- b = - 6
According to the question by using the formula we get,
As we know that,
Product of roots Formula :
We have :
- a = 3
- c = 4
According to the question by using the formula we get,
Now, we have to find the value of :
We have :
According to the question,
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