document.write( "Question 355697: please help me solve this equation $\"+8x%5E3-1=0+\"$ \n" ); document.write( "

Algebra.Com's Answer #253973 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
It's the difference of two cubes and can be factored.
\n" ); document.write( " $\"8x%5E3-1=%282x-1%29%284x%5E2%2B2x%2B1%29=0\"$
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( "Real solution:
\n" ); document.write( " $\"2x-1=0\"$
\n" ); document.write( " $\"2x=1\"$
\n" ); document.write( " $\"highlight%28x=1%2F2%29\"$
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( "Complex solution:
\n" ); document.write( " $\"4x%5E2%2B2x%2B1=0\"$
\n" ); document.write( "Use the quadratic formula,
\n" ); document.write( " $\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"$
\n" ); document.write( " $\"x+=+%28-2%2B-+sqrt%28+2%5E2-4%2A4%2A1+%29%29%2F%282%2A4%29+\"$
\n" ); document.write( " $\"x+=+%28-2%2B-+sqrt%28+4-16+%29%29%2F8+\"$
\n" ); document.write( " $\"x+=+%28-2%2B-+sqrt%28+-12+%29%29%2F8+\"$
\n" ); document.write( " $\"x+=+%28-2%2B-+2%2Asqrt%28+-3+%29%29%2F8+\"$
\n" ); document.write( " $\"highlight%28x+=+%28-1%2B-+sqrt%28+3+%29i%29%2F4%29\"$ where $\"i=sqrt%28-1%29\"$
\n" ); document.write( " \n" ); document.write( "

\n" );