Which reasoning technique derives conclusions from

I. 3x⁶- 19x³+16=0

II. 9y⁴- 27y²+20=0

What are the coordinates of the point which divides the line joining (-1, 7) and (4, 3) in the ratio 2:3?

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

Equation 1: 19x² - 92x + 73 = 0

Equation 2: 17y² - 76y + 59 = 0

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

Equation 1: x² - 24x + 143 = 0

Equation 2: y² - 20y + 96 = 0

I. 3x² - 22 x + 40 = 0   

II. 4y² + 22y  + 24 = 0    

I. 2x² – 5x – 12 = 0

II. 2y² + 13y + 20 = 0

I. x² + 3x – 154 = 0

II. y² + 5y – 126 = 0

In each of these questions, two equations (I) and (II) are given.You have to solve both the equations and give answer   

I. √(74x-250 )– x=15

II. √(3y²-37y+18)+ 2y=18