Question

If α and β are the zeroes of the polynomial then find 1/α+ 1/β , if polynomial is X2 +6x +2​

Answer 1

Answer:

1/α + 1/β = -3

Step-by-step explanation:

Given that,

• Quadratic equation, x² + 6x + 2 = 0

On comparing with ax² + bx + c = 0 ; we get,

↪ a = 1 , b = 6 , c = 2

Given that,

• α and β are the zeroes of the polynomial.

↪ Sum of roots = -b/a

↪ α + β = -6/1

↪ α + β = -6

↪ Product of roots = c/a

↪ αβ = 2/1

↪ αβ = 2

Hence,

↪1/α + 1/β = α+β/αβ

↪ 1/α + 1/β = -6/2

↪ 1/α + 1/β = -3.