Who coined the term microbial control?

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

Equation 1: x² - 45x + 450 = 0

 If x satisfies x² – 14x + 40 = 0, find x.

What will be the product of smaller roots of both equations. 

I. 27x² + 120x + 77 = 0

II. 56y² + 117y + 36 = 0

If x + 1/x = 4, find x⁵ + 1/x⁵.

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

I. 2x² – 25x + 33 = 0

II. 3y² + 40y + 48 = 0

I. x² – 13x + 36 = 0

II. 3y² – 29y + 18 = 0

I. 20x² - 93x + 108 = 0

II.72y² - 47y - 144 = 0

Roots of the quadratic equation 2x² + x – 528 = 0 is