document.write( "Question 73840This question is from textbook Algebra and Trigonomerty
\n" ); document.write( ": Trigonometry-basics/73819 (2007-03-08 13:33:50):
\n" ); document.write( "I am studying DeMoivre's Theorum in Aplications of Trigonometry, I was asked to find the real and complex solution to the equation $\"x%5E2-8=0\"$
\n" ); document.write( "Possible answers
\n" ); document.write( "a. -2,2, $\"2cis%28PI%2F3%29\"$
\n" ); document.write( "b. 2, $\"2cis%282PI%2F3%29\"$ , $\"2cis%284PI%2F3%29\"$
\n" ); document.write( "c. -2, $\"2cis%28PI%2F3%29\"$ , $\"2cis%282PI%2F3%29\"$
\n" ); document.write( "d. $\"2cis%28PI%2F3%29\"$ , $\"2cis%282PI%2F3%29\"$ , $\"2cis%284PI%2F3%29\"$ \n" ); document.write( "

Algebra.Com's Answer #52809 by stanbon(75887) $\"\"$ $\"About$

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I am studying DeMoivre's Theorum in Aplications of Trigonometry, I was asked to find the real and complex solution to the equation $\"x%5E3-8=0\"$
\n" ); document.write( "Possible answers
\n" ); document.write( "a. -2,2, $\"2cis%28PI%2F3%29\"$
\n" ); document.write( "b. 2, $\"2cis%282PI%2F3%29\"$ , $\"2cis%284PI%2F3%29\"$
\n" ); document.write( "c. -2, $\"2cis%28PI%2F3%29\"$ , $\"2cis%282PI%2F3%29\"$
\n" ); document.write( "d. $\"2cis%28PI%2F3%29\"$ , $\"2cis%282PI%2F3%29\"$ ,

2cis(4PI/3)}}
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\n" ); document.write( "The polar form for (0,8) is z = 8cis(0+2(pi)n) where n=0,1,2,3,...
\n" ); document.write( "The cube root is (cube rt 8)cis((2/3)(pi)n) where n=0,1,2,...
\n" ); document.write( "For n=0 the cube root is 2cis(0) = 2*1 = 2
\n" ); document.write( "For n=1 the cube root is 2cis((2/3)(pi))
\n" ); document.write( "For n=2 the cube root is 2cis((4/3)(pi))
\n" ); document.write( "-----------
\n" ); document.write( "These are in answer \"b\".
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H. \n" ); document.write( "

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