Directions: In the following question, two equations are given in variables X and Y. You have to solve these equations and determine the relation between X and Y.

I. X² – 5x + 6 = 0
II. 2y² – 7y +3 = 0

Directions: In the following question, two equations are given in variables X and Y. You have to solve these equations and determine the relation between X and Y.

I. 2x + 3y = 52
II. 5x – 2y = 16

Directions: In the following question, two equations are given in variables X and Y. You have to solve these equations and determine the relation between X and Y.

I. X³ = 125
II. Y³ = 8

Direction: In the given question, two equations numbered l and II are given. Solve both the equations and mark the appropriate answer.

I. x² – 12x + 32 = 0
II. 2y² – 9y + 10 = 0

What are the roots of the quadratic equations?

  $$(x^2 + 3x - 154 = 0)$$

Express 15625 as a power of 5?

If x₁ and x₂ are the roots of the equations bx²-ax + log₂m^y=0 such that x₁²=a²+x₂² then evaluate the roots in terms of a and b.

In equation $$ {x^{2}-24x+k=0}$$ the first root is x=2 then find out  the second root of equation.