Question

make a quadratic equation sum of zeros is equal to 1 upon 4 product of zeros is equal to 4

Answer 1

given sum of roots = 1/4
product = 4
equation is x^2-x(sum of roots)+product =0
x^2-(1/4)x+4 = 0
4x^2-x+16 = 0
hence this is the required equation

Answer 2

Given
Sum of zeros is 1/4
Product of zeros is 4
Quadratic equation=x^2-(sum of zeros) x+product of zeros
=x^2-1/4x+4
Multiplying by 4
Equation=4x^2-x+16