document.write( "Question 1072205: I need to solve by completeing the square: ^ :means exponent
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document.write( " 7x^2 - 14x -56=0
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document.write( "I moved 56 to the other side: 7x^2-14x=56
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document.write( "Then i did (b/2)^2 and got 49 as a third term: 7x^2-14x+49
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document.write( "I tried to find what added could give me -14 and multiplied could give me 343
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document.write( "Did i do this wrong? plz help \n" );
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Algebra.Com's Answer #687083 by rothauserc(4718) You can put this solution on YOUR website! for complete the square to work, the coefficient of x^2 term must be 1 \n" ); document.write( ": \n" ); document.write( "7x^2 - 14x -56 = 0 \n" ); document.write( ": \n" ); document.write( "7x^2 -14x = 56 \n" ); document.write( ": \n" ); document.write( "divide both sides of = by 7 \n" ); document.write( ": \n" ); document.write( "x^2 -2x = 8 \n" ); document.write( ": \n" ); document.write( "add 1 to both sides of = \n" ); document.write( ": \n" ); document.write( "x^2 -2x +1 = 8 + 1 \n" ); document.write( ": \n" ); document.write( "(x - 1)^2 = 3^2 \n" ); document.write( ": \n" ); document.write( "take square root of both sides of = \n" ); document.write( ": \n" ); document.write( "************************************ \n" ); document.write( "there are two cases \n" ); document.write( ": \n" ); document.write( "1) x - 1 = 3 \n" ); document.write( ": \n" ); document.write( "x = 4 \n" ); document.write( ": \n" ); document.write( "2) x - 1 = -3 \n" ); document.write( ": \n" ); document.write( "x = -2 \n" ); document.write( ": \n" ); document.write( "check our answers for x, x = 4 and x = -2 \n" ); document.write( ": \n" ); document.write( "7x^2 - 14x -56 = 0 \n" ); document.write( ": \n" ); document.write( "7(4)^2 -14(4) -56 = 0 \n" ); document.write( ": \n" ); document.write( "112 -56 -56 = 0 \n" ); document.write( ": \n" ); document.write( "112 -112 = 0 \n" ); document.write( ": \n" ); document.write( "0 = 0 \n" ); document.write( ": \n" ); document.write( "7(-2)^2 -14(-2) -56 = 0 \n" ); document.write( ": \n" ); document.write( "28 +28 -56 = 0 \n" ); document.write( ": \n" ); document.write( "56 - 56 = 0 \n" ); document.write( ": \n" ); document.write( "0 = 0 \n" ); document.write( ": \n" ); document.write( "our answers check \n" ); document.write( ": \n" ); document.write( "******************************************* \n" ); document.write( ":\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |