Question

if alpha beta are the zeroes of the polynomial p(x)=
$x2 - 8x +a\ \textless \ br /\ \textgreater \ \ \textless \ br /\ \textgreater \ \ \textless \ br /\ \textgreater$
and
$\alpha 2 + \beta 2 = 40$
find the value of a

​

Answer 1

Answer:

a=12

Step-by-step explanation:

f(x)=x2-8x+a

then α+β=8,αβ=a

α²+β²=40

(α+β)²-2αβ=40

64-2a=40

2a=64-40=24

a=24/2=12