Question

if alpha and beta are the zeros of the polynomial xsquare - 6x+k find k such that alpha +beta whole square- 2alphabeta =40​

Answer 1

Answer:

Step-by-step explanation:

f(x)=x2-6x+k;

by comparing this eq. with ax2+bx+c = 0;

we get a = 1, b = -6  and c = k;

Suppose the roots of the equation is alpha and beta:

alpha + beta = -b/a

alpha+beta = 6/1;

alpha*beta = c/a;

alpha*beta = k

we know that:

(a+b)2 = a2+b2+2ab ;

Not putting the values in above eq.;

(6)2 = 40 + 2k;

36 - 40 = 2k;

-4 = 2k;

k= -2.

HOPE IT HELPS.