if alpha and beta are zeros of polynomial f(x)=5x2 -7x+1 find the value of 1/alpha +1/beta
Answers
Answer:
(1/a +1/)
1/a +1/B= (a + B/ ab)
(a + B)=-b/a = 7/5
ab = c/a = 2/5
so, (a + B/ab (7/5) /(2/5)
7/2
So, 1/a +1/b = (a + B/ ab = 7/2
Hence, 1/a +1/b = 7/2
Answer:
The value of .
Step-by-step explanation:
Given the polynomial
and are the zeros of the polynomial.
Sum of the roots of a polynomial is given by,
Thus, the sum of the roots in the given polynomial is
...(1)
Product of the roots of a polynomial is given by,
Thus, the product of the roots in the given polynomial is
...(2)
Product of the roots of a polynomial is given by,
Given to find the value of
Substituting the values from equation (1) and (2),
Therefore, the value of .