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

Equation 1: x² - 29x + 210 = 0

Equation 2: y² - 27y + 182 = 0

If a quadratic polynomial y = ax² + bx + c intersects x axis at a and β, then

I. (x^13/5 ÷7) = 5488 ÷ x^7/5

I. 8x² + 2x – 3 = 0

II. 6y² + 11y + 4 = 0

I. 3y² + 16y + 16 = 0

II. 2x² + 19x + 45 = 0

I. 6y² - 17y + 12 = 0

II. 15x² - 38x + 24 = 0

I. 6x² - 13 x + 6 = 0

II. 15 y² + 11 y - 12 = 0

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

Equation 1: x² - 26x + 168 = 0

Equation 2: y² - 23y + 132 = 0

I. 2x² – 5x – 12 = 0

II. 2y² + 13y + 20 = 0

I. 3x⁶- 19x³+16=0

II. 9y⁴- 27y²+20=0