document.write( "Question 86765: Hi,
\n" ); document.write( "I am working on a quadratic equation: x^2 + 4x + 4 = 7. \r
\n" ); document.write( "\n" ); document.write( "I'm not sure if I've arrived at the correct answer...I have x = 2(plus/minus) sq.rt. 7....am I correct in thinking this is the final answer? \r
\n" ); document.write( "\n" ); document.write( "Thank you! \n" ); document.write( "

Algebra.Com's Answer #62775 by Earlsdon(6294) $\"\"$ $\"About$

You can put this solution on YOUR website!
You are almost absolutely correct! The two in your answer should be negative.
\n" ); document.write( "Starting with:
\n" ); document.write( " $\"x%5E2+%2B+4x+%2B+4+=+7\"$ Subtract 7 from both sides to get your equation into the standard form: $\"ax%5E2%2Bbx%2Bc+=+0\"$
\n" ); document.write( " $\"x%5E2%2B4x-3+=+0\"$ Applying the quadratic formula: $\"x+=+%28-b%2B-sqrt%28b%5E2-4ac%29%29%2F2a\"$ you'll get:
\n" ); document.write( " $\"x+=+%28-4%2B-sqrt%284%5E2-4%281%29%28-3%29%29%29%2F2%281%29\"$ Simplifying this:
\n" ); document.write( " $\"x+=+%28-4%2B-sqrt%2816-%28-12%29%29%29%2F2\"$
\n" ); document.write( " $\"x+=+%28-4%2B-sqrt%2828%29%29%2F2\"$ Simplifying further:
\n" ); document.write( " $\"x+=+%28-4%2B-sqrt%284%2A7%29%29%2F2\"$
\n" ); document.write( " $\"x+=+%28-4%2B-2%2Asqrt%287%29%29%2F2\"$ This should show + or -
\n" ); document.write( " $\"x+=+-2%2Bsqrt%287%29\"$ or $\"x+=+-2-sqrt%287%29\"$ \n" ); document.write( "

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