document.write( "Question 146050: 2x+3=4x^2 \n" ); document.write( "

Algebra.Com's Answer #106597 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

You can put this solution on YOUR website!
2x+3=4x^2
\n" ); document.write( ":
\n" ); document.write( "You can rearrange this is the quadratic form:
\n" ); document.write( "4x^2 - 2x - 3 = 0
\n" ); document.write( ":
\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( "In your problem: a=4; b=-2; c=-3
\n" ); document.write( " $\"x+=+%28%28-2%29+%2B-+sqrt%28+-2%5E2-4%2A4%2A-3+%29%29%2F%282%2A4%29+\"$
\n" ); document.write( ":
\n" ); document.write( " $\"x+=+%282+%2B-+sqrt%284+-+%28-48%29+%29%29%2F%288%29+\"$
\n" ); document.write( " $\"x+=+%282+%2B-+sqrt%284+%2B+48%29%29%2F%288%29+\"$
\n" ); document.write( " $\"x+=+%282+%2B-+sqrt%2852+%29%29%2F%288%29+\"$
\n" ); document.write( "Two solutions:
\n" ); document.write( " $\"x+=+%282+%2B+7.211%29%2F8\"$
\n" ); document.write( " $\"x+=+%289.211%29%2F8\"$
\n" ); document.write( "x = 1.151
\n" ); document.write( "and
\n" ); document.write( " $\"x+=+%282+-+7.211%29%2F8\"$
\n" ); document.write( " $\"x+=+%28-5.211%29%2F8\"$
\n" ); document.write( "x = -.651
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