document.write( "Question 327900: i am doing completing the square and i want to make sure i have it right\r
\n" ); document.write( "\n" ); document.write( "solve: x squared + 2x = 8 by completing the square
\n" ); document.write( "

Algebra.Com's Answer #234817 by meay7c(10)\"\" \"About 
You can put this solution on YOUR website!
The problem : x^2 + 2x = 8, can be solved by completing the square as follows:\r
\n" ); document.write( "\n" ); document.write( "x^2 + 2x = 8\r
\n" ); document.write( "\n" ); document.write( "Next we want to take 1/2 of the coefficient, 2 which is 1 and then square 1.\r
\n" ); document.write( "\n" ); document.write( "1 squared is 1, so we add 1 to both sides:\r
\n" ); document.write( "\n" ); document.write( "x^2 + 2x + 1 = 8 + 1\r
\n" ); document.write( "\n" ); document.write( "Next we simplify:\r
\n" ); document.write( "\n" ); document.write( "x^2 + 2x + 1 = 9\r
\n" ); document.write( "\n" ); document.write( "Remember: x^2 + 2x + 1 is equivalent to (x + 1)^2. If we were to FOIL out
\n" ); document.write( "(x +1)^2 we would get: x^2 + 2x + 1.
\n" ); document.write( "In order to solve this equation, we will use (x + 1)^2 on the left hand side.\r
\n" ); document.write( "\n" ); document.write( "(x + 1)^2 = 9\r
\n" ); document.write( "\n" ); document.write( "To solve for x, we must undo the squaring operation on the left hand side. We do this by taking the square root of both sides:\r
\n" ); document.write( "\n" ); document.write( "sqrt(x + 1) ^2 = + or - sqrt (9)\r
\n" ); document.write( "\n" ); document.write( "Yielding: x + 1 = + or - 3\r
\n" ); document.write( "\n" ); document.write( "Next we evaluate:\r
\n" ); document.write( "\n" ); document.write( "x + 1 = 3 and x + 1 = -3\r
\n" ); document.write( "\n" ); document.write( "The first equation x + 1 = 3, x is 2.\r
\n" ); document.write( "\n" ); document.write( "The second equation x + 1 = -3, x = -4\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );