document.write( "Question 97658: I need help completing the square for this problem.\r
\n" ); document.write( "\n" ); document.write( "16x^2-16x-5=0\r
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\n" ); document.write( "\n" ); document.write( "So far I have tried this:\r
\n" ); document.write( "\n" ); document.write( "16x^2-16x+[1/2(-16)]=5+[1/2(-16)]
\n" ); document.write( "16x^2-16x+64=5+64
\n" ); document.write( "16(x^2-x+4)=69
\n" ); document.write( "16(????????????\r
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\n" ); document.write( "I'm lost from this point on. I tried factoring but it's not working for me. I hope you can help me.\r
\n" ); document.write( "\n" ); document.write( "Thank you very much\r
\n" ); document.write( "\n" ); document.write( "Solve a Quadratic Equation by completing the square. \r
\n" ); document.write( "\n" ); document.write( "I was not sure what would be an acceptable answer for your teacher so I worked it all the way out. This problem is a Quadratic Equation. Here is your solution. \n" ); document.write( "
Algebra.Com's Answer #854038 by MathTherapy(10801)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "I need help completing the square for this problem.\r\n" );
document.write( "\r\n" );
document.write( "16x^2-16x-5=0\r\n" );
document.write( "\r\n" );
document.write( "So far I have tried this:\r\n" );
document.write( "\r\n" );
document.write( "16x^2-16x+[1/2(-16)]=5+[1/2(-16)]\r\n" );
document.write( "16x^2-16x+64=5+64\r\n" );
document.write( "16(x^2-x+4)=69\r\n" );
document.write( "16(????????????\r\n" );
document.write( " \r\n" );
document.write( "I'm lost from this point on. I tried factoring but it's not working for me. I hope you can help me.\r\n" );
document.write( "\r\n" );
document.write( "Thank you very much\r\n" );
document.write( "\r\n" );
document.write( "Solve a Quadratic Equation by completing the square. \r\n" );
document.write( "\r\n" );
document.write( "I was not sure what would be an acceptable answer for your teacher so I worked it all the way out.\r\n" );
document.write( "This problem is a Quadratic Equation. Here is your solution.\r\n" );
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document.write( "You would be lost, because you should've FIRST divided through, by 16, in order to make the coefficient on \"x%5E2\", 1.\r\n" );
document.write( "\"16x%5E2+-+16x+-+5+=+0\"\r\n" );
document.write( "This quadratic can be solved by FACTORING. Often-times, this author will solve, by FACTORING, if possible, \r\n" );
document.write( "before or after completing the square, and then match the solutions. You can do the same, if you wish!\r\n" );
document.write( "\r\n" );
document.write( "           \"16x%5E2+-+16x+-+5+=+0\"\r\n" );
document.write( "         \"16x%5E2%2F16+-+16x%2F16+-+5%2F16+=+0%2F16\"----- Dividing each side by 16\r\n" );
document.write( "                 \"x%5E2+-+x+-+5%2F16+=+0\" \r\n" );
document.write( "                         \"x%5E2+-+x+=+5%2F16\" ----- Adding \"5%2F16\" to both sides\r\n" );
document.write( "\"x%5E2+-+x+%2B+%28%281%2F2%29%28-+1%29%29%5E2+=+5%2F16+%2B+%28%281%2F2%29%28-+1%29%29%5E2\" ---- Squaring \"1%2F2\" of b, then adding result to both sides\r\n" );
document.write( "          \"x%5E2+-+x+%2B+%28-+1%2F2%29%5E2+=+5%2F16+%2B+%28-+1%2F2%29%5E2\" \r\n" );
document.write( "                    \"%28x+-+1%2F2%29%5E2+=+5%2F16+%2B+1%2F4\" \r\n" );
document.write( "                   \"%28x+-+1%2F2%29%5E2+=+5%2F16+%2B+4%2F16\" \r\n" );
document.write( "                  \"%28x+-+1%2F2%29%5E2+=+9%2F16\" \r\n" );
document.write( "            \"sqrt%28%28x+-+1%2F2%29%5E2%29+=+0+%2B-+sqrt%289%2F16%29\" ---- Taking square root on both sides\r\n" );
document.write( "                       \"x+-+1%2F2+=+0+%2B-+3%2F4\" \r\n" );
document.write( "                            \"x+=+1%2F2+%2B-+3%2F4\"\r\n" );
document.write( "                            \"x+=+2%2F4+%2B-+3%2F4\" \r\n" );
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