Question

The sum and product of the polynomial 4x²-27x+2K² are equal,find the value of K

Answer 1

Sum of the zeroes = -b/a  = -(-27/4) = 27/4 
Product of the zeroes = c/a = 2K²/4 = K²/2

As per the question,

K²/2 = 27/4
K² = 27/2
K = √27/2