Question

if alpha and beta are the zeros of polynomial p(x ) = 6x square -5x + k find k if 1/alpha + 1/beta = 5​

Answer 1

Please brainliest answer
alpha , beta are the roots of the quadratic polynomial p(x)= x2-(k-6)x+(2k+1).Find the value of k, if alpha + beta = alpha × beta (2 marks)
Here a = 1 , b = -(k-6) and c = 2k+1

Answer 2

Answer:

given alpha and beta are the zeroes of the equation.

so from the given information we can say the alpha +beta=-b/a and

alpha X beta =c/a

given 1/alpha+1/beta= 5

so 1/alpha + 1/beta= alpha + beta/ alpha X beta

-b/a/c/a = - b/c

which is 5/K= 5

K=1