Question

If alpha and beta are zeroes of the polynomial x2 - 6x + a.Find the value of a if beta is -2

Answer 1

Hello.
See the pic for your answer.

Hope it helps.

Answer 2

Answer:

x^2-6x+a

alpha and beta are the zeroes so

\alpha + \beta = - \frac{b}{a }

\alpha + \beta = 6

\alpha = 6 - \beta

3 \alpha + 2 \beta = 20

3(6 - \beta ) + 2 \beta = 20

18 - 3 \beta + 2 \beta = 20

18 - \beta = 20

- \beta = 2

\beta = - 2

\alpha + \beta = 6

\alpha - 2 = 6

\alpha = 8

\alpha \beta = \frac{c}{a}

-16=a