document.write( "Question 401068: x^2-4x=6 \n" ); document.write( "

Algebra.Com's Answer #283996 by jsmallt9(3758) $\"\"$ $\"About$

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When solving quadratic equations you want one side to be zero. So we start by subtracting 6 from each side:
\n" ); document.write( " $\"x%5E2-4x-6=0\"$
\n" ); document.write( "This equation will not factor so we must use the Quadratic Formula (or complete the square):
\n" ); document.write( " $\"x+=+%28-%28-4%29+%2B-+sqrt%28%28-4%29%5E2-4%281%29%28-6%29%29%29%2F2%281%29\"$
\n" ); document.write( "which simplifies as follows:
\n" ); document.write( " $\"x+=+%28-%28-4%29+%2B-+sqrt%2816-4%281%29%28-6%29%29%29%2F2%281%29\"$
\n" ); document.write( " $\"x+=+%28-%28-4%29+%2B-+sqrt%2816%2B24%29%29%2F2%281%29\"$
\n" ); document.write( " $\"x+=+%28-%28-4%29+%2B-+sqrt%2840%29%29%2F2%281%29\"$
\n" ); document.write( " $\"x+=+%284+%2B-+sqrt%2840%29%29%2F2\"$
\n" ); document.write( " $\"x+=+%284+%2B-+sqrt%284%29%2Asqrt%2810%29%29%2F2\"$
\n" ); document.write( " $\"x+=+%284+%2B-+2%2Asqrt%2810%29%29%2F2\"$
\n" ); document.write( " $\"x+=+%282%282+%2B-+sqrt%2810%29%29%29%2F2\"$
\n" ); document.write( " $\"x+=+%28cross%282%29%282+%2B-+sqrt%2810%29%29%29%2Fcross%282%29\"$
\n" ); document.write( " $\"x+=+2+%2B-+sqrt%2810%29\"$
\n" ); document.write( "In long form this is:
\n" ); document.write( " $\"x+=+2+%2B+sqrt%2810%29\"$ or $\"x+=+2+-+sqrt%2810%29\"$ \n" ); document.write( "

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