Question

if alpha and beta are the zeros of a quadratic polynomial , then what is 1/alpha + 1/beta for its general form i.e. ax² + bx + c

Answer 1

Hello!

Here is your answer......

General Form of a quadratic equation is

ax^2+bx+c = 0

α and β are the roots of this equation.

then

$1 \div \alpha + 1 \div \beta = \beta + \alpha \div \alpha \beta$
α+β = -b/a

αβ = c/a

then 1/α+1/β = -b / a / c / a

= -b/c