What approximate value will come in place of the question

I. p² - 19p + 88 = 0   

II. q² - 48q + 576 = 0

(i) x² – 3x – 40 = 0

(ii) y² + 11y + 30 = 0

Equation 1: x² - 45x + 500 = 0

Equation 2: y² - 60y + 600 = 0

I. 12x² + 22x + 8 = 0

II. 4y² - y − 3 = 0

Equation 1: x² + 16x + 63 = 0

Equation 2: y² + 10y + 21 = 0

I. x² - (16)² = 0

II. 2y - 14 = 0

LCM of 'x' and 'y' is 30 and their HCF is 1 such that {10 > x > y > 1}.

I. 2p²- (x + y) p + 3y = 0

II. 2q² + (9x + 2) = (3x + y) q

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

l).  2p² + 12p + 18 = 0 

ll).  3q² + 13q + 12 = 0

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

Equation 1: x² - 54x + 704 = 0

Equation 2: y² - 44y + 448 = 0