Antibiotics are produced

I. 4x² – 53x – 105 = 0

II. 3y² – 25y + 48 = 0

Equation 1: 2x² - 21x + 54 = 0

Equation 2: 4y² - 23y + 15 = 0

I. 2y² - 35y + 132 = 0

II. 2x² - 31x + 110 = 0

I. 27x² + 120x + 77 = 0

II. 56y² + 117y + 36 = 0

I. x² + (9x/2) + (7/2) = - (3/2)

II. y² + 16y + 63 = 0

I. 20y² - 13y + 2 = 0

II. 6x² - 25x + 14 = 0

Solve the quadratic equations and determine the relation between x and y:

Equation 1: x² - 41x + 400 = 0

Equation 2: y² - 41y + 420 = 0

I. 3p² - 14p + 15 = 0

II. 15q²  - 34q + 15 = 0

I. 5x² – 7x – 6 =0

II. 2y² – 5y – 7 =0

What will be the product of smaller roots of both equations.