Question

if alpha and beta be the zero of polynomial 4 x square + 3 X + 7 find the value of one by Alpha Plus One by beta

Answer 1

$\textbf {Question}$ :

If α and β are the zeroes of the polynomial
$4 {x}^{2} + 3x + 7$
Then find the value of 1/α+1/β.

$\textbf {Answer}$ :

1/α + 1/β = (α + β) /αβ ....... (1)

From the polynomial,

α + β = - 3/4

αβ = 7/4

Putting these values in (1),

(α + β) /αβ = -3/4 × 4/7

= - 3 / 7

Thus, the value of 1/α+1/β = - 3/7.