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I. x² + 16x + 63 = 0

II. y² + 2y - 15 = 0

I. 63x² + 148x + 77 = 0

II. 21y² + 89y + 88 = 0

I. 3p² - 17p + 22 = 0

II. 5q² - 21q + 22 = 0

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

Equation 1: 21x² - 122x + 160 = 0

I: x² + 31x + 228 = 0

II: y² + 3y – 108 = 0

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

Equation 1: x² - 20x + 96 = 0

Equation 2: y² - 18y + 72 = 0

What are the coordinates of the point which divides the line joining (-1, 7) and (4, 3) in the ratio 2:3?

I. 3p² - 11p + 10 = 0

II. 2q² + 13q + 21 = 0

I. y² + y – 56 = 0

II. 2x² + 11 x – 40 = 0

I. x² + x – 42 = 0

II. y² + 6y – 27 = 0