document.write( "Question 989397: Solve the equation by completing the square:\r
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Algebra.Com's Answer #609739 by rothauserc(4718)![]() ![]() You can put this solution on YOUR website! 3x^2 +4x = 4 \n" ); document.write( "divide both sides of = by 3 \n" ); document.write( "x^2 +4x/3 = 4/3 \n" ); document.write( "divide x coefficient by 2 and square it then add to both sides of = \n" ); document.write( "x^2 +4x/3 + 16/36 = 4/3 +16/36 \n" ); document.write( "(x +4/6)^2 = 64/36 \n" ); document.write( "take square root of both sides of = \n" ); document.write( "x +4/6 = 8/6 \n" ); document.write( "x = 4/6 = 2/3 \n" ); document.write( "******************************** \n" ); document.write( "now check answer in original equation \n" ); document.write( "3(2/3)^2 +4(2/3) = 4 \n" ); document.write( "12/9 +8/3 = 4 \n" ); document.write( "12/9 +24/9 = 4 \n" ); document.write( "36/9 = 4 \n" ); document.write( "4 = 4 \n" ); document.write( "our answer x = 2/3 checks \n" ); document.write( " \n" ); document.write( " |