I. x² + 11x + 24 = 0

II. y² + 17y + 72 = 0

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

Equation 1: x² - 40x + 300 = 0

Equation 2: y² - 30y + 216 = 0

I. 3p² - 11p + 10 = 0

II. 2q² + 13q + 21 = 0

Equation 1: x² - 144x + 5184 = 0

Equation 2: y² - 130y + 4225 = 0

I. 4 x ² - 4 x  + 1 = 0                               

II. 4 y ² + 4 y  + 1 = 0

I. 2b² - 37b + 143 = 0

II. 2a² + 15a - 143 = 0

I. 6x² – 7x - 20 = 0

II. 3y² - y - 14 = 0

I. 35 y² + 58 y + 24 = 0

II. 21 x² + 37 x + 12 = 0

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

Equation 1: 4x² - 12x + 9 = 0

Equation 2: 2y² + 10y + 12 = 0

Find the maximum value of f(x)= –2x² +8x + 3.