Question

If a and b are the roots of the quadratic equation x 2 + x + I=0 then 1/a+1/b​

Answer 1

Answer:

x2−2px+p=0

Let α and β be two roots of the equation.

We know,

α+β=2p               ...(1) 

αβ=p                     ...(2) 

From equation (1) and (2),

2α+β​=αβ

α+β=2αβ

α=2αβ−β

α=(2α−1)β

β=2α−1α​

Explanation:

Answer 2

Answer:

If a and b are the roots of the quadratic equation x 2 + x + I=0 then 1/a+1/b