document.write( "Question 122241: Algebraically determine the EXACT roots in simplest form for 2x=-3x^2+4 \n" ); document.write( "

Algebra.Com's Answer #89810 by algebrapro18(249) $\"\"$ $\"About$

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2x=-3x^2+4 --> combine like terms
\n" ); document.write( "3x^2+2x-4=0 --> since this won't factor easily we need to use the quadratic formula.
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\n" ); document.write( "\n" ); document.write( "a = 3
\n" ); document.write( "b = 2
\n" ); document.write( "c = -4
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\n" ); document.write( "\n" ); document.write( " $\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"$ --> plug values in for a, b, and c
\n" ); document.write( " $\"x+=+%28-2+%2B-+sqrt%28+2%5E2-4%2A3%2A-4+%29%29%2F%282%2A3%29+\"$ --> Simplify
\n" ); document.write( " $\"x+=+%28-2+%2B-+sqrt%28+4%2B48+%29%29%2F%286%29+\"$ --> simplify
\n" ); document.write( " $\"x+=+%28-2+%2B-+sqrt%28+52+%29%29%2F%286%29+\"$ --> reduce sqrt(52)
\n" ); document.write( " $\"x+=+%28-2+%2B-+2+sqrt%28+13+%29%29%2F%286%29+\"$ --> factor out a 2
\n" ); document.write( " $\"x+=+%28-1+%2B-+sqrt%28+13+%29%29%2F%283%29+\"$ \n" ); document.write( "

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