Solving equations in the set of complex numbers

1.In the set C solve the equation:

rovnice-v-mnozine-komplexnych-cisel-1z

Solution:

rovnice-v-mnozine-komplexnych-cisel-1r

2.In the set C solve the equation:

rovnice-v-mnozine-komplexnych-cisel-2z

Solution:

rovnice-v-mnozine-komplexnych-cisel-2r

3. In the set C solve the equation:

rovnice-v-mnozine-komplexnych-cisel-3z

Solution:

rovnice-v-mnozine-komplexnych-cisel-3r

4.Which quadratic equation has one root x1 = 1 – i

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5.Which quadratic equation has roots

rovnice-v-mnozine-komplexnych-cisel-5z
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6.In the set C solve the equation:

x4 – 1 = 0
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7.In the set C solve the equation:

x6 – 64 = 0
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8.In the set C solve the equation:

5x3 – 11x2 + 11x – 5 = 0
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9. In the set C solve the equation x4 – 10x2 = 96. Choose a suitable substitution.

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10.In the set C solve the equation 5(x – 3)4 + 8(x – 3)2 = 112. Choose a suitable substitution.

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11.In the set C solve the equation:

rovnice-v-mnozine-komplexnych-cisel-11z
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12. In the set C solve the equation x3 – x2 + x = 0. Show that: x1 + x2 + x3 = 1 and x1·x2·x3 = 0

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13.In the set C solve the equation 16x4 – 81 = 0. Use the trigonometric (polar) form of a complex number.

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14.In the set C solve the equation x6 + 64 = 0. Use the trigonometric (polar) form of a complex number.

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15.In the set C solve the equation:

rovnice-v-mnozine-komplexnych-cisel-15z
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