document.write( "Question 622804: Solve the quadratic equation by completing the square. (Enter your answers as a comma-separated list.)
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document.write( "x2 + 5x − 2 = 0 \n" );
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Algebra.Com's Answer #391638 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! Solve the quadratic equation by completing the square. (Enter your answers as a comma-separated list.) \n" ); document.write( "x2 + 5x − 2 = 0 \n" ); document.write( "(x^2+5x)-2=0 \n" ); document.write( "To make the first expression a perfect square, take 1/2 of the coefficient(5) of the x-term and square it=(5/2)^2=25/4, then add it to the expression. \n" ); document.write( "(x^2+5x+25/4)=2 \n" ); document.write( "since you added 25/4 to the left side, you must add 25/4 to the right side. \n" ); document.write( "(x^2+5x+25/4)=2+25/4 \n" ); document.write( "(x+5/2)^2=33/4 \n" ); document.write( "take sqrt of both sides \n" ); document.write( "x+5/2=±√(33/4)≈2.87 \n" ); document.write( "x≈-5/2±2.87 \n" ); document.write( "x≈-2.5±2.87 \n" ); document.write( "x≈-5.37 \n" ); document.write( "or \n" ); document.write( "x≈.37 \n" ); document.write( "ans: x=-5.37, 0.37 \n" ); document.write( " \n" ); document.write( " |