document.write( "Question 1038188: What would you add to both sides of the equation in order to solve the quadratic equation by completing the square?
\n" ); document.write( "5s^2 - 10s = 23\r
\n" ); document.write( "\n" ); document.write( "options:
\n" ); document.write( "100
\n" ); document.write( "5
\n" ); document.write( "25
\n" ); document.write( "4
\n" ); document.write( "

Algebra.Com's Answer #652898 by Edwin McCravy(20054)\"\" \"About 
You can put this solution on YOUR website!
\r\n" );
document.write( "5s^2 - 10s = 23\r\n" );
document.write( "\r\n" );
document.write( "First we factor out the leading coefficient\r\n" );
document.write( "on the left\r\n" );
document.write( "\r\n" );
document.write( "5(s^2-2s) = 23\r\n" );
document.write( "\r\n" );
document.write( "We complete the square inside the parentheses by \r\n" );
document.write( "\r\n" );
document.write( "1. Taking 1/2 of -2, the coefficient of s, getting -1\r\n" );
document.write( "2. Squaring the result of step 1, (-1)^2 = +1.\r\n" );
document.write( "3. Adding that inside the parentheses.\r\n" );
document.write( "\r\n" );
document.write( "5(s^2-2s+1) = 23+5\r\n" );
document.write( "\r\n" );
document.write( "Adding +1 inside the parentheses on the left side amounts to \r\n" );
document.write( "adding +5 to the left side because of the 5 before the \r\n" );
document.write( "parentheses that we factored out.\r\n" );
document.write( "\r\n" );
document.write( "So we add +5 to both sides of the equation by adding +1\r\n" );
document.write( "inside the parentheses on the left, and +5 to the right side.\r\n" );
document.write( "\r\n" );
document.write( "Edwin
\n" ); document.write( "
\n" );