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Calcium cyanamide, with the formula CaCN2, is commercially referred to as Nitrolime. It is a nitrogenous fertilizer that also acts to control soil pests, making it beneficial in agricultural applications.
I. x2 – 12x + 32 = 0
II. y2 + y - 20 = 0
Solve the quadratic equations and determine the relation between x and y:
Equation 1: 4x² - 12x + 9 = 0
Equation 2: 2y² + 8y + 6 = 0
I. (y – 5)2 – 9 = 0
II. x2 – 3x + 2 = 0
I. 2x² - 12x + 16 = 0
II. 4y² - 8y - 12 = 0
I. 24x² - 58x + 23 = 0
II. 20y² + 24y – 65 = 0
I. x2 + 91 = 20x
II. 10y2 - 29y + 21 = 0
I. √(17x) + √51 = 0
II. √(4y) + 3 = 0
I. 8x2- 2x – 15 = 0
II. 12y2- 17y – 40 = 0
I. x2 + 11x + 30 = 0
II. y2 + 17y + 72 = 0
If 3x – 2y = 10 and xy = 11, the value of 27x³ – 8y³ is __________.