Question

alpha and beta are the zeros of the polynomial x^2 -(x +6) +2(2k -1). Find the value of k if alpha + beta = 1/2 alpha beta (ITS URGENT)

Answer 1

Answer:

7

Step-by-step explanation:

x²-(k+6)x+2(2k-1)

as alpha + beta =-b/a

and alpha * beta =c/a

therefore alpha + beta =-(k+6)/1=-(-k-6)=k+6

alpha * beta =2(2k-1)/1=2(2k-1)

and as given alpha + beta =1/2alpha*beta

therefore k+6=1/2*2(2k-1)

k+6=2k-1

k-2k=-1-6

-k=-7

therefore k=7 the answer