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

Equation 1: 3x² + 6x - 9 = 0

Equation 2: 2y² - 16y + 32 = 0

I. 7x² + 27x + 18 = 0

II. 19y² - 27y + 8 = 0

I. 8x² - 2x – 15 = 0

II. 12y² - 17y – 40 = 0

I. 6p² + 17p + 12 = 0

II. 12q² - 25q + 7 = 0

I.  x² = 10                               

II.  y² - 9y + 20 = 0

I. 20y² - 13y + 2 = 0

II. 6x² - 25x + 14 = 0

I. 6x² - 13 x + 6 = 0

II. 15 y² + 11 y - 12 = 0

For what values of k does the equation x² – (k+1)x + k = 0 have two distinct real roots, both greater than 1?

What is the average salary of 10 officers , if a clerk’s salary is Rs. 15,000?

I. 6x² - 47x + 77 =0

II. 6y² - 35y + 49 = 0