Solve `x^5+1=0` with the help of De-Moivre theorem.

De Moivre's theorem

Expand (2x+y)^(5) with the help of binomial theorem

Solve : 4x^2+5x+1=0 .

Solve: x^(2) + 5 = 0

Solve z^(4)+1=0 using DeMoivre's theorem.

Solve : |3x-5|=1

Solve using formula : (i) x^(2) - 4x-5=0 (ii) x^(2) - 7x - 3=0 (iii) With the help of flow chart given below solve the equation x^(2) + 2sqrt(5) x + 5 = 0 using the formula :

Solve: 5x^(2)-8x=0.

Solve for x : x^5-1 =0.

Problems based on cube roots and nth roots of unity and de Moivre's theorem