if alpha and beta are the zeros of the polynomial 2 X square + 3 X + 5 then find 1/alpha and 1/beta
Answers
Answered by
107
Given that :
α and β are the zeros of the polynomial p(x) = 2x² + 3x + 5.
ㅤ
To find :
The value of 1/α+ 1/β
ㅤ
Solution :
We know,
Sum of the zeros of a quadratic polynomial(ax² + bx + c) is
ㅤ
Product of the zeros of a quadratic polynomial(ax² + bx + c) is
ㅤ
Now,
given polynomial is 2x² + 3x + 5.
- α + β = -b/a = -3/2
- αβ = c/a 5/2
Calculating 1/α+ 1/β:
= 1/α + 1/β
ㅤ
(Taking LCM)
= (α + β )/αβ
ㅤ
(Putting the known values)
Similar questions