document.write( "Question 781625: Solve the quadratic equation by completing the square. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) \r
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document.write( "4x2 + 10x − 16 = 0 \n" );
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Algebra.Com's Answer #476006 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Solve the quadratic equation by completing the square. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) \n" ); document.write( "4x2 + 10x − 16 = 0 \n" ); document.write( "------------ \n" ); document.write( "4x^2 + 10x = 16 \n" ); document.write( "-------- \n" ); document.write( "2x^2 + 5x = 8 \n" ); document.write( "-------- \n" ); document.write( "2(x^2 + (5/2)x + ? = 8 + 2*? \n" ); document.write( "-------- \n" ); document.write( "Complete the square:: \n" ); document.write( "2(x^2 + (5/2)x + (5/4)^2) = 8 + 2(5/4)^2 \n" ); document.write( "-------- \n" ); document.write( "2(x+(5/4))^2 = 8 + (25/8) \n" ); document.write( "-------- \n" ); document.write( "2(x+(5/4))^2 = 89/8 \n" ); document.write( "-------- \n" ); document.write( "(x+(5/4))^2 = 89/16 \n" ); document.write( "-------- \n" ); document.write( "x = (-5/4) + sqrt(89)/4 or x = (-5/4) - sqrt(89)/4 \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "========================== \n" ); document.write( " \n" ); document.write( " |