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Equation 1: x² - 200x + 9600 = 0

Equation 2: y² - 190y + 9025 = 0

I.8^(x+3) +  8^(-x) =72 

II. 5^{(y + 5)} + 5^(-y) = 150 

I. y/16 = 4/y 

II. x³ = (2 ÷ 50) × (2500 ÷ 50) × 4² × (192 ÷ 12)

I. 81x - 117√x + 40 = 0

II. 81y - 225√y + 136 = 0

I. 15b² + 26b + 8 = 0

II. 20a² + 7a - 6 = 0

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

Equation 1: 19x² - 92x + 73 = 0

Equation 2: 17y² - 76y + 59 = 0

The nth term of a sequence is n² + 3n + 1. Find the difference between the 20th and 10th terms.

(i) 2x² – 9x + 10 = 0

(ii) 4y² – 12y + 9 = 0