if A and B are zeros of the polynomial 3 X square + 2 X + 3 then find One Upon A square + 1 upon B square
Answers
Answered by
20
Given polynomial
3x² + 2x + 3
[a = 3, b = 2, c = 3]
To find
1/α +1/β
Solution:
We know that in the polynomial ax² + bx +c,
α + β = -b/a
αβ = c/a
Substituting the values, we get:
-b/a = -2/3 = α + β
c/a = 3/3 = 1 = αβ
Now, we need to find 1/α +1/β. It can be written as:
Now, substituting the values, we get:
The required answer is -2/3.
Knowledge Bytes:
For a polynomial ax² + bx +c, there will be two zeros - α and β. The sum of the zeros, α + β will be equal to -b/a (coefficients of the polynomial) and the product of zeros, αβ will be equal to c/a.
BrainlyPhantom:
Thank you for the Brainliest :)
Answered by
0
If α and β are zeroes of 3x² + 2x + 3
1/α + 1/β
Let us compare the given equation with the original form of the quadratic equation i.e ax² + bx + c
a = 3
b = 2
c = 3
1/α + 1/β
α + β/αβ
(-b/a)/(c/a)
(-2/3)/(3/3)
-2/3 × 3/3
-6/9
-2/3
Similar questions