document.write( "Question 1167604: Consider \"z%5E5-i=0\"\r
\n" ); document.write( "\n" ); document.write( "By finding the roots in cis\"theta\" form, and using appropriate substitutions,\r
\n" ); document.write( "\n" ); document.write( "Show:\r
\n" ); document.write( "\n" ); document.write( "\"%28z-i%29%28z%5E2-%282isin%28pi%2F10%29%29z-1%29%28z%5E2%2B%282isin%283pi%2F10%29%29z-1%29\"=0 \n" ); document.write( "
Algebra.Com's Answer #851714 by MathLover1(20850)\"\" \"About 
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\n" ); document.write( "Consider \"z%5E5-i=0\"\r
\n" ); document.write( "\n" ); document.write( "By finding the roots in \"cis%28theta%29\" form, and using appropriate substitutions,\r
\n" ); document.write( "\n" ); document.write( "Show:\r
\n" ); document.write( "\n" ); document.write( "\"%28z-i%29%28z%5E2-%282isin%28pi%2F10%29%29z-1%29%28z%5E2%2B%282isin%283pi%2F10%29%29z-1%29=0\"\r
\n" ); document.write( "\n" ); document.write( " \"z%5E5-i=0\"
\n" ); document.write( " \"i=z%5E5\" => true if \"z=i\" ...(recall that \"i%5E5=i\")\r
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\n" ); document.write( "\n" ); document.write( "substitute \"z=i\"\r
\n" ); document.write( "\n" ); document.write( "\r
\n" ); document.write( "\n" ); document.write( "\r
\n" ); document.write( "\n" ); document.write( "..........factored form, first factor is \"0\", so whole product is\"+0\"
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