Question

if α and β are the zeroes of the quadratic polynomial f(x) = ax*2 + bx + c, find the value of 1/α+1/β

Answer 1

Hey !!!

Given polynomial

ax² + bx + c


$\alpha + \beta = - b \div a$
---------1)
$\alpha \times \beta = c \div a$
------2)

So,

$1 \div a + 1 \div b$

=>
$\alpha + \beta \div \alpha \times \beta$

from 1 and 2 equation

-b/a/c/a = -b/C

=> -b/c Answer

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Hope it helps you !!!

@Rajukumar111