Question

if the sum of the zeros of the polynomial x2-(k+3)x+(5k-3)is equal to one fouth of the product of zeros find the value of k

Answer 1

      Sum of zeroes = (k + 3)
Product of zeroes = (5k - 3)

Sum of zeroes = $\frac{1}{4}$ Product of zeroes
                k + 3 = $\frac{1}{4}$ (5k - 3)
            4k + 12 = 5k - 3
                      k = 9