document.write( "Question 220620: How to slove this Quadratic equation by completing the square: x^2+4x-8=0 \n" ); document.write( "
Algebra.Com's Answer #165560 by rapaljer(4671)![]() ![]() You can put this solution on YOUR website! x^2 + 4x +_____ = 8 + _____\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Take HALF of the x term, and square the result. In this case, half of 4 is 2, and 2 squared is 4. So add +4 to each side:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x^2 + 4x + 4 = 8 + 4\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Note Perfect Square Trinomial on the left side: \n" ); document.write( "(x+2)^2 = 12\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Square root each side: \n" ); document.write( "(x+2) = 0+-sqrt(12) \n" ); document.write( "x+2 = 0 +- sqrt(4)*sqrt(3)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Subtract 2 from each side: \n" ); document.write( "x= -2 +- 2*sqrt(3)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "R^2 \n" ); document.write( " |