How many winners were honoured at the 6th National Water

I. 6x² - 23x + 7 = 0

II. 6y² - 29y + 9 = 0

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

Equation 1: 6x² - 24x + 18 = 0

Equation 2: 5y² - 20y + 15 = 0

I. 4x² - 21 x + 20 = 0

II. 8y² - 22 y + 15 = 0

For 3x² − 10x − 8 = 0, find (1/α + 1/β).

I. x² – 13x + 36 = 0

II. 3y² – 29y + 18 = 0

If x and y satisfy x² + y² = 25 and x + y = 7, find xy.

I. x² – 3(x + 5) = -11

II. y² – 4(y + 2) = -2y

The nth term of a sequence is n² + 3n + 1. Find the difference between the 20th and 10th terms.