Question

if alpha and beta are the roots of quadratic polynomial p(X)=x2-(K-9)x+(2k+1)
then fid the value of k, if alpha+beta= alpha-beta

Answer 1

Answer:

-10

Step-by-step explanation:

For a quadratic equation ax2+bx+c = 0, the sum of its roots = –b/a and the product of its roots = c/a

here in given quadratic equation

a=1

b= -(k-9)

c=2k+1

given that

sum of roots=product of roots

-b/a= c/a

-(-(k-9))/1= (2k+1)/1

k-9=2k+1

2k-k=-9-1

k=-10