document.write( "Question 1116764: How do you final all complex solutions and write all answers in both trigonometric and rectangular form?\r
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Algebra.Com's Answer #731684 by ikleyn(52788)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "Equation  \"z%5E3-8\" = 0  has three complex solutions, that are the roots of degree 3 of 8:\r\n" );
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document.write( "            trigonometric form             complex number form  \r\n" );
document.write( "            r*(cos(t) + i*sin(t))          a + bi\r\n" );
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document.write( "1)  z = 2 = 2*(cos(0°)   + i*sin(0°)    =  2 + i*0;\r\n" );
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document.write( "2)  z =     2*(cos(120°) + i*sin(120°)) =  2*((-1/2) + i*(sqrt(3)/2)}}} = -1 + i*sqrt(3);\r\n" );
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document.write( "3)  z =     2*(cos(240°) + i*sin(240°)) =  2*((-1/2) - i*(sqrt(3)/2)}}} = -1 - i*sqrt(3);\r\n" );
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\n" ); document.write( "On complex numbers, see the lessons in this site\r
\n" ); document.write( "\n" ); document.write( "    - Complex numbers and arithmetical operations on them\r
\n" ); document.write( "\n" ); document.write( "    - Complex plane\r
\n" ); document.write( "\n" ); document.write( "    - Addition and subtraction of complex numbers in complex plane\r
\n" ); document.write( "\n" ); document.write( "    - Multiplication and division of complex numbers in complex plane\r
\n" ); document.write( "\n" ); document.write( "    - Raising a complex number to an integer power\r
\n" ); document.write( "\n" ); document.write( "    - How to take a root of a complex number (*)\r
\n" ); document.write( "\n" ); document.write( "    - Solution of the quadratic equation with real coefficients on complex domain\r
\n" ); document.write( "\n" ); document.write( "    - How to take a square root of a complex number\r
\n" ); document.write( "\n" ); document.write( "    - Solution of the quadratic equation with complex coefficients on complex domain\r
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\n" ); document.write( "\n" ); document.write( "    - Solved problems on taking roots of complex numbers (*)\r
\n" ); document.write( "\n" ); document.write( "    - Solved problems on arithmetic operations on complex numbers\r
\n" ); document.write( "\n" ); document.write( "    - Solved problem on taking square root of complex number\r
\n" ); document.write( "\n" ); document.write( "    - Miscellaneous problems on complex numbers\r
\n" ); document.write( "\n" ); document.write( "    - Advanced problem on complex numbers\r
\n" ); document.write( "\n" ); document.write( "    - Solved problems on de'Moivre formula\r
\n" ); document.write( "\n" ); document.write( "    - A curious example of an equation in complex numbers which HAS NO a solution\r
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\n" ); document.write( "\n" ); document.write( "The most relevant lessons marked (*) in the list.\r
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\n" ); document.write( "\n" ); document.write( "Also,  you have this free of charge online textbook in ALGEBRA-II in this site\r
\n" ); document.write( "\n" ); document.write( "    - ALGEBRA-II - YOUR ONLINE TEXTBOOK.\r
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\n" ); document.write( "\n" ); document.write( "The referred lessons are the part of this online textbook under the topic  \"Complex numbers\".\r
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\n" ); document.write( "\n" ); document.write( "Save the link to this textbook together with its description\r
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\n" ); document.write( "\n" ); document.write( "Free of charge online textbook in ALGEBRA-II
\n" ); document.write( "https://www.algebra.com/algebra/homework/complex/ALGEBRA-II-YOUR-ONLINE-TEXTBOOK.lesson\r
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\n" ); document.write( "\n" ); document.write( "into your archive and use when it is needed.\r
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