Question

If alpha and beta are zeroes of p(x)=x^(2)-4x+k find k if alpha^(2)+beta^(2)=25
please answer​

Answer 1

Step-by-step explanation:

1. alpha + beta = -b/a = 4
2. alpha × beta = c/a =k
3. alpha^2+beta^2=(alpha+beta)^2 -2(alpha×beta)
4. substituting (4)^2 -2k=0
5. 16-2k=0
6. -2k= -16 dividing through with -2 we get k=8