Simplify:

Quantity I: The price of rice is decreased by 30%, by how much % the consumption is increase so that the expenditure will decreased by 10%?

Equation 1: x² + 16x + 63 = 0

Equation 2: y² + 10y + 21 = 0

I. 12y² + 11y – 15 = 0

II. 8x² – 6x – 5 = 0

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

Equation 1: 103x² - 470x + 367 = 0

Equation 2: 107y² - 504y + 397 = 0

I.  3y² + 13y - 16 = 0

II. 3x² – 13x + 14 = 0

I: 3x² - 18x + 24 = 0

II: 5y² + 10y - 15 = 0

Equation 1: x² - 120x + 3500 = 0

Equation 2: y² - 110y + 3025 = 0

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

Equation 1: 11x² - 93x + 88 = 0

Equation 2: 13y² + 118y + 93 = 0

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

I. 6x² - 23x + 7 = 0

II. 6y² - 29y + 9 = 0