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

Equation 1: 13x² - 60x + 47 = 0

Equation 2: 17y² - 80y + 63 = 0

I. 49y² + 35y + 6 = 0

II. 12x² + 17 x + 6 = 0

I. 165x² + 97x + 10 = 0

II. 117y² - 163y + 56 = 0

I. 2y² - 15y + 18 = 0

II. 2x² + 9x - 18 = 0

I. 5q = 7p + 21

II. 11q + 4p + 109 = 0

I. x² + 24x + 143 = 0

II. y² + 12y + 35 = 0

I. 2x² + 3x - 9 = 0

II. 3y² - y - 10 = 0

If x² - 3x - 18 = 0 and y² + 9y + 18 = 0, which of the following is true?

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

I.  p²= ∛1331

II. 2q²  - 21q + 55 = 0