document.write( "Question 677461: How do I graph the quadratic equation x^2+6x+6=0? \n" ); document.write( "

Algebra.Com's Answer #420887 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
actually, you can't graph $\"+x%5E2+%2B+6x+%2B+6+=+0+\"$
\n" ); document.write( "It is an equation, but it doesn't relate 2 variables.
\n" ); document.write( "What you really mean is $\"+y+=+x%5E2+%2B+6x+%2B+6+\"$
\n" ); document.write( "Here's the plot:
\n" ); document.write( " $\"+graph%28+400%2C+400%2C+-8%2C+8%2C+-8%2C+8%2C+x%5E2+%2B+6x+%2B+6+%29+\"$
\n" ); document.write( "Now if you want to find the roots,
\n" ); document.write( " $\"+x%5E2+%2B+6x+%2B+6+=+0+\"$ is what you
\n" ); document.write( " $\"+x%5E2+%2B+6x+%2B+%286%2F2%29%5E2+=+-6+%2B+%286%2F2%29%5E2+\"$
\n" ); document.write( " $\"+x%5E2+%2B+6x+%2B+9+=+-6+%2B+9+\"$
\n" ); document.write( " $\"+%28+x+%2B+3+%29%5E2+=+%28+sqrt%283%29+%29%5E2+\"$
\n" ); document.write( " $\"+x+%2B+3+=+sqrt%283%29+\"$
\n" ); document.write( " $\"+x+=+-3+%2B+sqrt%283%29+\"$
\n" ); document.write( "and
\n" ); document.write( " $\"+x+=+-3+-+sqrt%283%29+\"$
\n" ); document.write( "------------------
\n" ); document.write( "In decimals:
\n" ); document.write( " $\"+x+=+-3+%2B+1.732+\"$
\n" ); document.write( " $\"+x+=+-1.268+\"$
\n" ); document.write( "and
\n" ); document.write( " $\"+x+=+-3+-+1.732+\"$
\n" ); document.write( " $\"+x+=+-4.732+\"$
\n" ); document.write( "These values match up OK with the x-intercepts ( roots )\r
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\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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