Question

If α and β are two zeros of the polynomial 3x^2+5x+2,then find the value of 1/α+1/β

Answer 1

Answer:

(1/α + 1/β) =(-5/2)

Step-by-step explanation:

3x^2 +5x +2 =0

If, α and β are root for equation for this X,

So, (1/α) and (1/β) are root for Equation for this (1/X).

So new equation is,

3(1/x)^2 +(5/X) +2 =0

So, 2x^2 +5x +3 =0

So, sum of roots = (-5/2)

Means, (1/α + 1/β) =(-5/2)