document.write( "Question 34504: 5n^2=-12n-1 \n" ); document.write( "

Algebra.Com's Answer #20801 by Cintchr(481) $\"\"$ $\"About$

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$\"+5n%5E2=-12n-1+\"$
\n" ); document.write( "Move all parts to the left side
\n" ); document.write( " $\"+5n%5E2%2B12n%2B1=0+\"$
\n" ); document.write( "Use the quadratic equation...
\n" ); document.write( " $\"+x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"$
\n" ); document.write( "Substitute
\n" ); document.write( "a=5
\n" ); document.write( "b=12
\n" ); document.write( "c=1
\n" ); document.write( " $\"+x+=+%28-12+%2B-+sqrt%28+12%5E2-4%2A5%2A1+%29%29%2F%282%2A5%29+\"$
\n" ); document.write( "Work the equation
\n" ); document.write( " $\"+x+=+%28-12+%2B-+sqrt%28+144-4%2A5%2A1+%29%29%2F%282%2A5%29+\"$
\n" ); document.write( " $\"+x+=+%28-12+%2B-+sqrt%28+144-20+%29%29%2F%282%2A5%29+\"$
\n" ); document.write( " $\"+x+=+%28-12+%2B-+sqrt%28+124+%29%29%2F%282%2A5%29+\"$
\n" ); document.write( " $\"+x+=+%28-12+%2B-+sqrt%28+124+%29%29%2F%2810%29+\"$
\n" ); document.write( "Root out the 124
\n" ); document.write( " $\"+x+=+%28-12+%2B-+2sqrt%28+31+%29%29%2F%2810%29+\"$
\n" ); document.write( "reduce the coefficients
\n" ); document.write( " $\"+x+=+%28-6+%2B-+sqrt%28+31+%29%29%2F%285%29+\"$
\n" ); document.write( "DONE \n" ); document.write( "

\n" );