2010013310 | math4u.vsb.cz

SubArea:

Quadratic equations with complex roots

Level:

Project ID:

2010013310

Source Problem:

Accepted:

0

Clonable:

1

Easy:

0

Find the quadratic equation with real coefficients such that one of the solutions is the complex number

x_{1} = 2 (\cos \frac{2 π}{3} + i \sin \frac{2 π}{3})

.

x^{2} + 2 x + 4 = 0

x^{2} - 2 x + 4 = 0

x^{2} + 4 x + 2 = 0

x^{2} + 2 \sqrt{3} x + 4 = 0