document.write( "Question 945089: Find the solution to the equation \r
\n" ); document.write( "\n" ); document.write( "(z^2-2)(z^3+i)=0 \n" ); document.write( "

Algebra.Com's Answer #576301 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"%28z%5E2-2%29%28z%5E3%2Bi%29=0\"$
\n" ); document.write( "You can both terms further,
\n" ); document.write( " $\"%28z-sqrt%282%29%29%28z%2Bsqrt%282%29%29%28z-i%29%28z%5E2%2Biz-1%29=0\"$
\n" ); document.write( "So then,
\n" ); document.write( " $\"z-sqrt%282%29=0\"$
\n" ); document.write( " $\"highlight%28z=sqrt%282%29%29\"$
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( " $\"z%2Bsqrt%282%29=0\"$
\n" ); document.write( " $\"highlight%28z=-sqrt%282%29%29\"$
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( " $\"z-i=0\"$
\n" ); document.write( " $\"highlight%28z=i%29\"$
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( "Complete the square for the final term,
\n" ); document.write( " $\"z%5E2%2Biz-1=0\"$
\n" ); document.write( " $\"z%5E2%2Biz%2B%28i%2F2%29%5E2-1=%28i%5E2%2F2%29\"$
\n" ); document.write( " $\"%28z%2Bi%2F2%29%5E2=-1%2F4%2B1\"$
\n" ); document.write( " $\"%28z%2Bi%2F2%29%5E2=3%2F4\"$
\n" ); document.write( " $\"z%2Bi%2F2=0+%2B-+sqrt%283%29%2F2\"$
\n" ); document.write( " $\"highlight%28z=-i%2F2+%2B-+sqrt%283%29%2F2%29\"$
\n" ); document.write( " \n" ); document.write( "

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