document.write( "Question 335690: I am looking at an example of a quadratic equation x^2 - 4x - 7 =0\r
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document.write( "using the quadratic formula I come up with 4 (+or-)(-4^2-4(1)(-7))/2 the instructor simplified this to x = 4(+or-)2(11^1/2) I don't see where the number 11 came from or how the 2 was pulled out of the square can someone explain. I will have a similar question to this according to the teacher in a quiz next week and I need to understand this. Thank-you. \n" );
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Algebra.Com's Answer #240675 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! quadratic equation \n" ); document.write( "x^2 - 4x - 7 =0 \n" ); document.write( "--------- \n" ); document.write( "a = 1 ; b = -4 ; c = -7 \n" ); document.write( "------------- \n" ); document.write( "x = [-b +- sqrt(b^2-4ac)]/(2a) \n" ); document.write( "------------- \n" ); document.write( "x = [4 +- sqrt(16-4*1*-7)]/(2*1) \n" ); document.write( "------ \n" ); document.write( "x = [4 +- sqrt(16+28)]/2 \n" ); document.write( "--- \n" ); document.write( "x = [4 +- sqrt(44)]/2 \n" ); document.write( "--- \n" ); document.write( "x = [4 +- sqrt(4*11)]/2 \n" ); document.write( "----\ \n" ); document.write( "x = [4 +- 2*sqrt(11)]/2 \n" ); document.write( "--- \n" ); document.write( "x = [2 +- sqrt(11)] \n" ); document.write( "----- \n" ); document.write( "x = 2+sqrt(11) or x = 2-sqrt(11) \n" ); document.write( "================================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |