Question

Alpha and beta are the roots of the quadratic polynomial x2-(k-6)x+2k+1) find the value of k if alpha +beta =alpha beta

Answer 1

Answer:

Step-by-step explanation.

X2-(k-6)+(2k+1)=0

Alpha+Beta=-b/a

Alpha+Beta=-(-k-6)/1

Alpha+Beta=(k-6)

And

Alpha×Beta=c/a

Alpha×Beta=(2k+1)/1

Alpha×Beta=(2k+1)

We Find Value Of K

Alpha+Beta=Alpha×Beta

(K-6)=(2k+1)

K-2k=1+6

-1k=7

K=7/-1

K=-7