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1003107510

Level:

Find the solution set of the following quadratic equation in the complex plane.

x + \frac{i}{2} = \frac{1}{x} + \frac{2}{i}

{- \frac{1}{2} i; - 2 i}

{\frac{1}{2} i; 2 i}

{\frac{1}{2} i; - 2 i}

{- \frac{1}{2} i; 2 i}

\emptyset

Level:

Find the solution set of the following quadratic equation in the complex plane.

(3 - 2 i) x^{2} - (2 - 4 i) x + 2 = 0

{1 - i; \frac{1}{13} + \frac{5}{13} i}

{- 1 + i; - \frac{1}{13} - \frac{5}{13} i}

\emptyset

{- 1 + i; \frac{1}{13} + \frac{5}{13} i}

{1 - i; - \frac{1}{13} - \frac{5}{13} i}

Level:

Find the complex roots of the following quadratic equation.

x^{2} + (2 + 2 i) x + 2 i = 0

x_{1, 2} = - 1 - i

x_{1, 2} = 1 + i

x_{1} = 1 + i, x_{2} = - 1 - i

x_{1} = 1 - i, x_{2} = - 1 + i

Level:

Find the solution set of the following quadratic equation in the complex plane.

x^{2} + 3 i x + 10 = 0

{- 5 i; 2 i}

{- 2 i; 5 i}

{2 - 5 i; 5 - 2 i}

{- 2 + 5 i; - 5 + 2 i}

\emptyset

Level:

Find the complex roots of the following quadratic equation.

9 x^{2} + 4 i = 0

x_{1} = - \frac{\sqrt{2}}{3} + \frac{\sqrt{2}}{3} i, x_{2} = \frac{\sqrt{2}}{3} - \frac{\sqrt{2}}{3} i

x_{1} = \frac{2}{3} i, x_{2} = - \frac{2}{3} i

x_{1} = \frac{\sqrt{2}}{3} + \frac{\sqrt{2}}{3} i, x_{2} = - \frac{\sqrt{2}}{3} - \frac{\sqrt{2}}{3} i

x_{1} = \frac{2}{3}, x_{2} = - \frac{2}{3}

Level:

Find the complex roots of the following quadratic equation.

4 i x^{2} + 1 = 0

x_{1} = \frac{\sqrt{2}}{4} + \frac{\sqrt{2}}{4} i, x_{2} = - \frac{\sqrt{2}}{4} - \frac{\sqrt{2}}{4} i

x_{1} = - \frac{\sqrt{2}}{4} + \frac{\sqrt{2}}{4} i, x_{2} = \frac{\sqrt{2}}{4} - \frac{\sqrt{2}}{4} i

x_{1} = \frac{1}{2} + \frac{1}{2} i, x_{2} = - \frac{1}{2} - \frac{1}{2} i

x_{1} = - \frac{1}{2} + \frac{1}{2} i, x_{2} = \frac{1}{2} - \frac{1}{2} i

Level:

Find the complex roots of the following quadratic equation.

16 i x^{2} - 9 i^{3} = 0

x_{1} = \frac{3}{4} i, x_{2} = - \frac{3}{4} i

x_{1} = \frac{3}{4}, x_{2} = - \frac{3}{4}

x_{1} = \frac{4}{3} i, x_{2} = - \frac{4}{3} i

x_{1} = \frac{4}{3}, x_{2} = - \frac{4}{3}

Level:

Find the complex roots of the following quadratic equation.

(3 - i) x^{2} - (1 - 2 i) x = 0

x_{1} = 0, x_{2} = \frac{1}{2} - \frac{1}{2} i

x_{1} = 0, x_{2} = - \frac{1}{2} + \frac{1}{2} i

x_{1} = 0, x_{2} = \frac{1}{2} + \frac{1}{2} i

x_{1} = 0, x_{2} = - \frac{1}{2} - \frac{1}{2} i

Level:

Find the solution set of the following quadratic equation in the complex plane.

x^{2} - (2 - 3 i) x = 0

{0; 2 - 3 i}

{0; - 2 + 3 i}

{0; 2 + 3 i}

{0; - 2 - 3 i}

Level:

Find the complex roots of the following quadratic equation.

2 i x^{2} - 5 i x = 0

x_{1} = 0, x_{2} = \frac{5}{2}

x_{1} = 0, x_{2} = \frac{5}{2} i

x_{1} = 0, x_{2} = - \frac{5}{2}

x_{1} = 0, x_{2} = - \frac{5}{2} i