document.write( "Question 331423: 2x^2-3x=5 completing the square \n" ); document.write( "
Algebra.Com's Answer #237702 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
2x^2-3x=5 completing the square
\n" ); document.write( ";
\n" ); document.write( "We need the coefficient of x^2, to be 1, divide each term by 2, and you have
\n" ); document.write( "x^2 - \"3%2F2\"x = \"5%2F2\"
\n" ); document.write( ":
\n" ); document.write( "x^2 - \"3%2F2\"x + ____ = \"5%2F2\"
\n" ); document.write( ":
\n" ); document.write( "\"%283%2F4%29%5E2\" will complete the square. add to both sides
\n" ); document.write( "x^2 - \"3%2F2\"x + \"9%2F16\" = \"5%2F2\" + \"9%2F16\"
\n" ); document.write( ":
\n" ); document.write( "x^2 - \"3%2F2\"x + \"9%2F16\" = \"40%2F16\" + \"9%2F16\"
\n" ); document.write( ":
\n" ); document.write( "x^2 - \"3%2F2\"x + \"9%2F16\" = \"49%2F16\"
\n" ); document.write( ":
\n" ); document.write( "(x - \"3%2F4\")^2 = \"49%2F16\"
\n" ); document.write( ":
\n" ); document.write( "Find the square root of both sides
\n" ); document.write( "x - \"3%2F4\" = +/-\"sqrt%2849%2F16%29\"
\n" ); document.write( ":
\n" ); document.write( "x = \"3%2F4\" +/-\"sqrt%2849%2F16%29\"
\n" ); document.write( "a perfect square
\n" ); document.write( "x = \"3%2F4\" +/-\"7%2F4\"
\n" ); document.write( "Two solutions
\n" ); document.write( "x = \"3%2F4\" + \"7%2F4\"
\n" ); document.write( "x = \"10%2F4\"
\n" ); document.write( "x = 2\"1%2F2\"
\n" ); document.write( "and
\n" ); document.write( "x = \"3%2F4\" - \"7%2F4\"
\n" ); document.write( "x = \"-4%2F4\"
\n" ); document.write( "x = -1
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "Check solution in original equation using x=2.5
\n" ); document.write( "2(2.5^2) -3(2.5) = 5
\n" ); document.write( "2(6.25) - 7.5 = 5
\n" ); document.write( "12.5 - 7.5 = 5; confirms our solution,
\n" ); document.write( ":
\n" ); document.write( "You can check solution for x=-1 \n" ); document.write( "
\n" );