Warning: A non-numeric value encountered in /home/triang47/public_html/Layout.php on line 233

De Moivre's formula

Warning: Creating default object from empty value in /home/triang47/public_html/Example_Generic.php(41) : eval()'d code on line 1

Warning: Creating default object from empty value in /home/triang47/public_html/Example_Generic.php(41) : eval()'d code on line 1
There are two distinct complex numbers z such that z3 is equal to 1 and z is not equal 1.

Calculate the sum of these two numbers.
Warning: A non-numeric value encountered in /home/triang47/public_html/Example_Generic.php on line 1037

Result

S =  -1

Solution:

Leave us a comment of example and its solution (i.e. if it is still somewhat unclear...):

Be the first to comment!

To solve this example are needed these knowledge from mathematics:

Try our complex numbers calculator.

Next similar examples:

1. Geometric progression 2
There is geometric sequence with a1=5.7 and quotient q=-2.5. Calculate a17.
2. Linear imaginary equation
Given that ? "this is z star" Find the value of the complex number z.
3. Complex number coordinates
Which coordinates show the location of -2+3i
4. Imaginary numbers
Find two imaginary numbers whose sum is a real number. How are the two imaginary numbers related? What is its sum?
5. Is complex
Are these numbers 2i, 4i, 2i + 1, 8i, 2i + 3, 4 + 7i, 8i, 8i + 4, 5i, 6i, 3i complex?
6. Im>0?
Is -10i a positive number?
7. Reciprocal
Calculate reciprocal of z=0.8-1.8i:
8. ABS CN
Calculate the absolute value of complex number -15-29i.
9. Median and modus
Radka made 50 throws with a dice. The table saw fit individual dice's wall frequency: Wall Number: 1 2 3 4 5 6 frequency: 8 7 5 11 6 13 Calculate the modus and median of the wall numbers that Radka fell.
10. Roman numerals 2+
Add up the number writtens in Roman numerals. Write the results as a roman numbers.
11. Seats
Seats in the sport hall are organized so that each subsequent row has five more seats. First has 10 seats. How many seats are: a) in the eighth row b) in the eighteenth row
12. Theorem prove
We want to prove the sentence: If the natural number n is divisible by six, then n is divisible by three. From what assumption we started?
13. Roman numerals +
Add up the number writtens in Roman numerals. Write the results as a decimal number.
14. Fish tank
A fish tank at a pet store has 8 zebra fish. In how many different ways can George choose 2 zebra fish to buy?
15. 75th percentile (quartille Q3)
Find 75th percentile for 30,42,42,46,46,46,50,50,54
16. Calculation
How much is sum of square root of six and the square root of 225?
17. Equation
Equation ? has one root x1 = 8. Determine the coefficient b and the second root x2.