document.write( "Question 1032924: Complete the square showing the steps:\r
\n" ); document.write( "\n" ); document.write( "y=4x^2+24x-13\r
\n" ); document.write( "\n" ); document.write( "Thanks so much :) \n" ); document.write( "

Algebra.Com's Answer #647497 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"+y+=+4x%5E2+%2B+24x+-+13+\"$
\n" ); document.write( "Set $\"++y+=+0+\"$ to find roots
\n" ); document.write( " $\"+0+=+4x%5E2+%2B+24x+-+13+\"$
\n" ); document.write( "Add $\"+13+\"$ to both sides
\n" ); document.write( " $\"+4x%5E2+%2B+24x+=+13+\"$
\n" ); document.write( "Divide both sides by $\"+4+\"$
\n" ); document.write( " $\"+x%5E2+%2B+6x+=+13%2F4+\"$
\n" ); document.write( "Take 1/2 of the coefficient of $\"+x+\"$ ,
\n" ); document.write( "square it and add it to both sides
\n" ); document.write( " $\"+x%5E2+%2B+6x+%2B+%286%2F2%29%5E2+=+13%2F4+%2B+%286%2F2%29%5E2+\"$
\n" ); document.write( "Simplify
\n" ); document.write( " $\"+x%5E2+%2B+6x+%2B+9+=+13%2F4+%2B+36%2F4+\"$
\n" ); document.write( " $\"+x%5E2+%2B+6x+%2B+9+=+49%2F4+\"$
\n" ); document.write( " $\"+%28+x+%2B+3+%29%5E2+=+%287%2F2%29%5E2+\"$
\n" ); document.write( "Take the ( positive ) square root of both sides
\n" ); document.write( " $\"+x+%2B+3+=+7%2F2+\"$
\n" ); document.write( " $\"+x+=+7%2F2+-+6%2F2+\"$
\n" ); document.write( " $\"+x+=+1%2F2+\"$
\n" ); document.write( "Take the ( negative ) square root of both sides
\n" ); document.write( " $\"+x+%2B+3+=+-7%2F2+\"$
\n" ); document.write( " $\"+x+=+-6%2F2+-+7%2F2+\"$
\n" ); document.write( " $\"+x+=+-13%2F2+\"$
\n" ); document.write( "------------------------
\n" ); document.write( "check answers:
\n" ); document.write( " $\"+y+=+4x%5E2+%2B+24x+-+13+\"$
\n" ); document.write( " $\"+0+=+4%2A%281%2F2%29%5E2+%2B+24%2A%281%2F2%29+-+13+\"$
\n" ); document.write( " $\"+0+=+4%2A%281%2F4%29+%2B+12+-+13+\"$
\n" ); document.write( " $\"+0+=+1+%2B+12+-+13+\"$
\n" ); document.write( " $\"+0+=+13+-+13+\"$
\n" ); document.write( " $\"+0+=+0++\"$
\n" ); document.write( "and
\n" ); document.write( " $\"+y+=+4x%5E2+%2B+24x+-+13+\"$
\n" ); document.write( " $\"+0+=+4%2A%28-13%2F2%29%5E2+%2B+24%2A%28-13%2F2%29+-+13+\"$
\n" ); document.write( " $\"+0+=+4%2A%28+169%2F4+%29+-+312%2F2+-+13+\"$
\n" ); document.write( " $\"+0+=+169+-+156+-+13+\"$
\n" ); document.write( " $\"+0+=+169+-+169+\"$
\n" ); document.write( " $\"+0+=+0+\"$
\n" ); document.write( "OK \n" ); document.write( "

\n" );