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 ? 

Find the exact value of the following question:

$$ 1280÷{2^3} + 1220÷{2^2}-182=?$$

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

(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 one root of the equation Ax²+Bx+C = 0 is two and a half times the others, then which of the following is TRUE? 

Solve: 0.05 × 0.4 

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. 2x²+11x+12=0
II. 5y²+27y+10=0