The Insurance Regulatory and Development Authority

l. x² - 16x + 64 = 0

II. y² = 64

I). p² + 22p + 72 = 0,

II). q² - 24q + 128 = 0

One of the roots of the equation x² – 12x + k = 0 is x = 3. The other root is ___________.

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. 40x² + 81x + 35 = 0

II. 63y² + 103y + 42 = 0

I. 8x – 3y = 85

II. 4x – 5y = 67

I. 6x² + 37x + 45 = 0

II. 3y² - 11y + 6 = 0

l).  3p + 2q = 27

ll).  4p - 3q = 2

I. 6x² - 23x + 7 = 0

II. 6y² - 29y + 9 = 0

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