document.write( "Question 89171: Solve by completing the square\r
\n" );
document.write( "\n" );
document.write( "x^2=5x+2\r
\n" );
document.write( "\n" );
document.write( "Any help is appreciated \n" );
document.write( "
Algebra.Com's Answer #64815 by stanbon(75887) ![]() You can put this solution on YOUR website! Solve by completing the square\r \n" ); document.write( "\n" ); document.write( "x^2=5x+2 \n" ); document.write( "------------ \n" ); document.write( "x^3-5x = 2 \n" ); document.write( "Complete the square on the x-terms and balance the equation: \n" ); document.write( "x^2-5x+(5/2)^2 = 2 + (5/2)^2 \n" ); document.write( "Factor the left side and simplify the right side: \n" ); document.write( "(x-(5/2))^2 = 33/4 \n" ); document.write( "Take the square root of both sides: \n" ); document.write( "(x-(5/2)) = (sqrt33)/2 or (x-(5/2)) = (-sqrt33)/2 \n" ); document.write( "Solve for x: \n" ); document.write( "x = [5+sqrt33]/2 or x = [5-sqrt33]/2 \n" ); document.write( "================= \n" ); document.write( "Cheers, \n" ); document.write( "Stan H.\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |