document.write( "Question 271993: Find the value of y in the quadratic equation\r
\n" ); document.write( "\n" ); document.write( "y^2 +4y +4 =7 \n" ); document.write( "

Algebra.Com's Answer #199131 by jsmallt9(3758) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"y%5E2+%2B4y+%2B4+=7\"$
\n" ); document.write( "Solving quadratic equations start with getting one side of the equation equal to zero. So we'll subtract 7 from each side:
\n" ); document.write( " $\"y%5E2+%2B+4y+-3+=+0\"$
\n" ); document.write( "Next we would either factor the non-zero side or use the Quadratic Formula. Normally I prefer factoring but this equation does not factor. So we must use the Quadratic Formula, $\"x+=+%28-b+%2B-+sqrt%28b%5E2+-+4ac%29%29%2F%282a%29\"$ . Using this on our equation we get:
\n" ); document.write( " $\"y+=+%28-%284%29+%2B-+sqrt%28%284%29%5E2+-+4%281%29%28-3%29%29%29%2F%282%281%29%29\"$
\n" ); document.write( "Simplifying we get:
\n" ); document.write( " $\"y+=+%28-4+%2B-+sqrt%2816+-+4%281%29%28-3%29%29%29%2F2\"$
\n" ); document.write( " $\"y+=+%28-4+%2B-+sqrt%2816+%2B+12%29%29%2F2\"$
\n" ); document.write( " $\"y+=+%28-4+%2B-+sqrt%2828%29%29%2F2\"$
\n" ); document.write( " $\"y+=+%28-4+%2B-+sqrt%284%2A7%29%29%2F2\"$
\n" ); document.write( " $\"y+=+%28-4+%2B-+sqrt%284%29%2Asqrt%287%29%29%2F2\"$
\n" ); document.write( " $\"y+=+%28-4+%2B-+2%2Asqrt%287%29%29%2F2\"$
\n" ); document.write( " $\"y+=+%282%28-2+%2B-+sqrt%287%29%29%29%2F2\"$
\n" ); document.write( " $\"y+=+%28cross%282%29%28-2+%2B-+sqrt%287%29%29%29%2Fcross%282%29\"$
\n" ); document.write( " $\"y+=+-2+%2B-+sqrt%287%29\"$ \n" ); document.write( "

\n" );