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

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

Equation 1: 27x² - 114x + 99 = 0

Equation 2: 18y² - 70y + 68 = 0

I. 15b² + 26b + 8 = 0

II. 20a² + 7a - 6 = 0

Equation 1: x² + 16x + 63 = 0

Equation 2: y² + 10y + 21 = 0

I. 22x² - 97x + 105 = 0

II. 35y² - 61y + 24 = 0

I: 3x² - 18x + 24 = 0

II: 5y² + 10y - 15 = 0

I. x² - 208 = 233

II. y² + 47 - 371 = 0

Find the value of 'x' and 'y' in the following equation:

8x - 3y = 58

5x + 2y = 106

I. x² - 33x + 270 = 0

II. y² - 41y + 414 = 0

I. p² +7p + 10 = 0 II. q² - q – 6 = 0