document.write( "Question 871053: please help me make this into standard form and show it in a graph with roots. $\"+3x%5E2%2Bx=-4x%2B5+\"$ \n" ); document.write( "

Algebra.Com's Answer #525276 by josgarithmetic(39617) $\"\"$ $\"About$

You can put this solution on YOUR website!
Simplify first.
\n" ); document.write( " $\"3x%5E2%2B5x-5=0\"$ . The function would be something general as $\"y=3x%5E2%2B5x-5=0\"$ . The term to complete the square is (5/2)^2, which you should ..... Not that.... but better, this...\r
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\n" ); document.write( "\n" ); document.write( " $\"y=3%28x%5E2%2B%285%2F3%29x%2B5%2F3%29=0\"$ . Now, using this might be better. The term to complete the square is $\"%285%2F%282%2A3%29%29%5E2=%285%2F6%29%5E2\"$ .\r
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\n" ); document.write( "\n" ); document.write( " $\"y=3%28x%5E2%2B%285%2F3%29x%2B%285%2F6%29%5E2%2B5%2F3-%285%2F6%29%5E2%29\"$
\n" ); document.write( " $\"y=3%28%28x%2B5%2F6%29%5E2%2B5%2F3-%285%2F6%29%5E2%29\"$
\n" ); document.write( " $\"y=3%28x%2B5%2F6%29%5E2%2B3%285%2F3-%285%2F6%29%5E2%29\"$
\n" ); document.write( " $\"y=3%28x%2B5%2F6%29%5E2%2B3%2860%2F36-25%2F36%29\"$
\n" ); document.write( " $\"y=3%28x%2B5%2F6%29%5E2%2B3%2835%2F36%29\"$
\n" ); document.write( " $\"highlight%28y=3%28x%2B5%2F6%29%5E2%2B35%2F12%29\"$ . STANDARD FORM.\r
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\n" ); document.write( "\n" ); document.write( "The vertex is a minimum, at (-5/6, 35/12). The roots will be found simply solving y=0. This is partly done already because the equation is now in standard form. \n" ); document.write( "

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