document.write( "Question 1040729: Solve each quadratic equation by completing the square \r
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document.write( "1. x2 - 3x - 1
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document.write( " (x is base,2 is the exponent) \r
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document.write( "2. x2 - 14x + 13 = 0
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document.write( " (x is base,2 is the exponent) \n" );
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Algebra.Com's Answer #655689 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Solve each quadratic equation by completing the square \n" ); document.write( "1. x^2 - 3x - 1 = 0 \n" ); document.write( "x^2 - 3x + __ = 1 \n" ); document.write( "Find the value that completes the square: Half the cofficient of x squared \n" ); document.write( "That is -1.5^2 = 2.25, add this to both sides \n" ); document.write( "x^2 - 3x + 2.25 = 1 + 2.25 \n" ); document.write( "x^2 - 3x + 2.25 = 3.25 \n" ); document.write( "which is \n" ); document.write( "(x-1.5)^2 = 3.25 \n" ); document.write( "Find the square root of both sides \n" ); document.write( "x - 1.5 = +/- \n" ); document.write( "Two solutions \n" ); document.write( "x = \n" ); document.write( "and \n" ); document.write( "x = \n" ); document.write( ": \n" ); document.write( "2. x^2 - 14x + 13 = 0 \n" ); document.write( "x^2 - 14x + ___ = - 13 \n" ); document.write( "-7^2 = 49, add to both sides \n" ); document.write( "x^2 - 14x + 49 = -13 + 49 \n" ); document.write( "x^2 - 14x + 49 = 36 \n" ); document.write( "(x - 7)^2 = 36 \n" ); document.write( "x - 7 = +/- \n" ); document.write( "two solutions \n" ); document.write( "x = 7 + 6 \n" ); document.write( "x = 13 \n" ); document.write( "and \n" ); document.write( "x = 7 - 6 \n" ); document.write( "x = 1 \n" ); document.write( " |