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If a quadratic polynomial y = ax² + bx + c intersects x axis at a and β, then

I. x² + 4x + 4 = 0

II. y² - 8y + 16 = 0

I. 15y² + 4y – 4 = 0

II. 15x² + x – 6 = 0

Find the coefficient of x³ in (2x − 3)⁶.

I). 5p²  - p - 4 = 0

II). q² - 12q + 27 = 0

I. 3x² - 22 x + 40 = 0   

II. 4y² + 22y  + 24 = 0    

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

Equation 1: x² - 42x + 392 = 0

Equation 2: y² - 46y + 480 = 0

If x + 1/x = 3, find x² + 1/x².

I. x² + (9x/2) + (7/2) = - (3/2)

II. y² + 16y + 63 = 0

I. 22x² - 97x + 105 = 0

II. 35y² - 61y + 24 = 0