document.write( "Question 712761: -6=-6x^2+9x find all values of x satisfying the given condition \n" ); document.write( "

Algebra.Com's Answer #438140 by josmiceli(19441) $\"\"$ $\"About$

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$\"+-6=-6x%5E2%2B9x+\"$
\n" ); document.write( "Divide both sides by $\"+-3+\"$
\n" ); document.write( " $\"+2+=+2x%5E2+-+3x+\"$
\n" ); document.write( "Subtract $\"+2+\"$ from both sides
\n" ); document.write( " $\"+2x%5E2+-+3x+-+2+=+0+\"$
\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( " $\"+a+=+2+\"$
\n" ); document.write( " $\"+b+=+-3+\"$
\n" ); document.write( " $\"+c+=+-2+\"$
\n" ); document.write( " $\"+x+=+%28-%28-3%29+%2B-+sqrt%28+%28-3%29%5E2+-+4%2A2%2A%28-2%29+%29%29+%2F+%282%2A2%29+\"$
\n" ); document.write( " $\"+x+=+%28+3+%2B-+sqrt%28+9+%2B+16%29%29+%2F+4+\"$
\n" ); document.write( " $\"+x+=+%28+3+%2B-+sqrt%28+25%29%29+%2F+4+\"$
\n" ); document.write( " $\"+x+=+%28+3+%2B+5%29+%2F+4+\"$
\n" ); document.write( " $\"+x+=+8%2F4+\"$
\n" ); document.write( " $\"+x+=+2+\"$
\n" ); document.write( "and, taking the negative square root,
\n" ); document.write( " $\"+x+=+%28+3+-+5%29+%2F+4+\"$
\n" ); document.write( " $\"+x+=+-2%2F4+\"$
\n" ); document.write( " $\"+x+=+-1%2F2+\"$
\n" ); document.write( "-------------
\n" ); document.write( "check answers:
\n" ); document.write( " $\"+%28+x+-+2+%29%2A%28+x+%2B+1%2F2+%29+=+0+\"$
\n" ); document.write( " $\"+x%5E2+-+2x+%2B+%281%2F2%29%2Ax+-+1+=+0+\"$
\n" ); document.write( " $\"+x%5E2+-%283%2F2%29%2Ax+-+1+=+0+\"$
\n" ); document.write( " $\"+-x%5E2+%2B+%283%2F2%29%2Ax+=+-1+\"$
\n" ); document.write( "Multiply both sides by $\"+6+\"$
\n" ); document.write( " $\"+-6x%5E2+%2B+9x+=+-6+\"$
\n" ); document.write( "OK \n" ); document.write( "

\n" );