On 1st August which of the following days is celebrated?

In each of these questions, two equations (I) and (II) are given.You have to solve both the equations and give answer   

I. 6x² - 47x + 77 =0

II. 6y² - 35y + 49 = 0

Equation 1: x² - 220x + 12100 = 0

Equation 2: y² - 210y + 11025 = 0

I. 35x² - 51x + 18 = 0

II. 30y² + 17y – 21 = 0

I. x² – 13x + 40 = 0

II. 2y² – 15y + 13 = 0 

I. x² + 91 = 20x

II. 10y² - 29y + 21 = 0

In the question, two equations I and II are given. You have to solve both the equations to establish the correct relation between x and y.

I. x

I. 99 x² + 31 x – 110 = 0

II. 6y² - 31y + 35 = 0

I. 2x² + 11 x + 15 = 0    

II. 2y² - 19 y  + 44 = 0    

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

Equation 1: 37x² - 172x + 135 = 0