2010013305 | math4u.vsb.cz

SubArea:

Quadratic equations with complex roots

Level:

Project ID:

2010013305

Source Problem:

Accepted:

0

Clonable:

1

Easy:

0

The number

\sqrt{2} (\cos \frac{3 π}{4} + i \sin \frac{3 π}{4})

is a solution of a quadratic equation with real valued coefficients. Find the second solution.

\sqrt{2} (\cos \frac{5 π}{4} + i \sin \frac{5 π}{4})

\sqrt{2} (\cos \frac{π}{4} + i \sin \frac{π}{4})

\sqrt{2} (\cos \frac{7 π}{4} + i \sin \frac{7 π}{4})

\sqrt{2} (\cos \frac{3 π}{4} + i \sin \frac{3 π}{4})