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I. 8x² - 78x + 169 = 0

II. 20y² - 117y + 169 = 0

I. 27x⁶-152x³+125=0

II. 216y⁶ -91y³+8=0

If α, β are the roots of the equation x² – px + q = 0, then the value of α²+β²+2αβ is 

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

Equation 1: 27x² - 114x + 99 = 0

Equation 2: 18y² - 70y + 68 = 0

Equation 1: x² - 45x + 500 = 0

Equation 2: y² - 60y + 600 = 0

I. (x^13/5 ÷7) = 5488 ÷ x^7/5

I. x² - 5x - 14 = 0

II. y² - 16y + 64 = 0

I. 7x² + 27x + 18 = 0

II. 19y² - 27y + 8 = 0

I. 81x - 117√x + 40 = 0

II. 81y - 225√y + 136 = 0