Question

If alpha and Beta are the zeroes of the polynomial f(x) = x^2-x-4. Find the value of 1/alpha + 1/beta - alpha*beta ​

Answer 1

$\fcolorbox{green}{yellow}{Given α and ß are their zeroes.} \\ \fcolorbox{green}{yellow}{ α + ß = 1 / 1 = 1. αß = -4. = 15 / 4.}$

$\huge \: \fcolorbox{red}{orange}{slide \: it}$

Answer 2

Step-by-step explanation:

f(x)=x2 −x−4

α+β=1

αβ=−4

→1/α+1/β−αβ

= α+β−αβ/αβ

= 1/-4−(−4)

=15/4