Question

If alpha and beta are the zeros of the polynomial x^2-x-4 ,then find the value of 1alpha+1beta-alpha *beta

Answer 1

Answer:

15/4

Step-by-step explanation:

Given Polynomial

$x {}^{2} - x - 4$

Here a=1, b=-1, c=-4

if

$\alpha \: and \: \beta \: are \: roots \: of \: quadratic \: equation \: then$

$\alpha + \beta = - b \: by \: a = 1$

and

$\alpha \beta = c \: by \: a = - 4$

now,

$1 \: by \: \alpha + \: 1by \beta - \alpha \beta = \alpha + \beta \: by \: \alpha \beta - \alpha \beta$

=1/(-4)-(-4)

=-1/4+4

=15/4.

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