document.write( "Question 229209: 2x^2-4x-1=0\r
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document.write( "answer: 2 + sqrt6 /2 , or 2 - sqrt6/2 anyone can give me a full break down of why trhe answer is 2 + sqrt 6/2 or 2 - sqrt6/2 \n" );
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Algebra.Com's Answer #169972 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! 2x^2-4x-1=0 \n" ); document.write( "This is a quadratic with a = 2 ; b = -4 ; and c = -1 \n" ); document.write( "--- \n" ); document.write( "Use the Quadratic Formula: \n" ); document.write( "x = [-b +- sqrt(b^2 - 4ac)]/(2a) \n" ); document.write( "------------------------------------- \n" ); document.write( "Plug in the values for a, b, and c to get: \n" ); document.write( "x = [4 +- sqrt(16 - 4*2*-1)]/4 \n" ); document.write( "--- \n" ); document.write( "x = [4 +- sqrt(24)]/4 \n" ); document.write( "--- \n" ); document.write( "x = [4 +- 2sqrt(6)]/4 \n" ); document.write( "--- \n" ); document.write( "x = (1 + (1/2)sqrt(6)) or x = (1- (1/2)sqrt(6)) \n" ); document.write( "This can be written: \n" ); document.write( "x = (2+sqrt(6))/2 or x = (2-sqrt(6))/2\r \n" ); document.write( "\n" ); document.write( "===================================================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |