If 2x + 3y = 87 and 3x – 3y = 48, what is the value of x?

If α and β are the roots of the equation x² + x - 1 = 0, then what is the equation whose roots are and α⁵ and β⁵ ? 

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

If 4x+5y=83 and $$ \ {3x\over2y}={21\over22}$$then what is the value of y-x ?

Direction: In the following questions two equations numbered I and II are given. You have to solve both the equations and Give answer

Give answer (A) If x > y
Give answer (B) if x ≥ y
Give answer (C) if x<y
Give answer (D) If x ≤ y
Give answer (E) if x=y or the relationship cannot be established.

 I. x² – 7x+ 12=0
II. y²-12y+32 =0

(3x-7)³+(3x-8)³+(3x+6)³=3(3x-7)(3x-8)(3x+6)
Find the value of x ?

A root of equation $$({ax}^2+bx+c)$$ (where a, b and c are rational numbers) is 5 +3√3. What is the value of $$({a}^2+b^2+c^2) / (a+b+c) ? $$

If $$ {4x^2}={25}^2-{15}^2 $$, then find the value of x.