Question

If α and β are the zeroes of the polynomial x2 + x – 1, the evaluate α + β + αβ.​

Answer 1

Answer:

here sum of roots +product of roots -1+(-1) = -2

Answer 2

Step-by-step explanation:

$sum \: of \: zeroes ( \alpha + \beta ) = \frac{ - b}{a} \: = \frac{ - 1}{1} = - 1 \\ \\ product \: of \: zeroes = ( \alpha \beta ) = \frac{c}{a} = \frac{ - 1}{1} = -1 \\ \\ now \\ \\ \alpha + \beta + \alpha \beta = ( - 1) + ( - 1) = - 2$

Here's The Answer My Friend....