Indian origin ____________, was United Kingdom's Home

What will be the product of smaller roots of both equations. 

I. 27x² + 120x + 77 = 0

II. 56y² + 117y + 36 = 0

I. 18p²- 21p + 6 = 0      

II. 16q² - 24q +9 = 0

I. 5x² -14x + 8 = 0   

II. 2y² + 17y  + 36 = 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

I.8^(x+3) +  8^(-x) =72 

II. 5^{(y + 5)} + 5^(-y) = 150 

I. 15/(√x)+9/(√x)=11√x

II. (√y)/4 + (5√y)/12 = 1/(√y)

I. 35 y² + 58 y + 24 = 0

II. 21 x² + 37 x + 12 = 0

(i) 2x² – 12x + 16 = 0

(ii) 2y² – 20y + 48 = 0

I.√(3x-17)+ x=15

II. y + 135/y=24