document.write( "Question 1030456: Hi, I have a question
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document.write( "The product of 2 numbers is 96. One number is 4 more than the other. Find the two numbers.\r
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document.write( "We have been told to use quadratic equations to solve this but I am not sure how to go about it.
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document.write( "I have done n(n+4) = 96\r
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document.write( "But I don't know what else to do....l
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document.write( "Thanks \n" );
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Algebra.Com's Answer #645317 by Cromlix(4381)![]() ![]() You can put this solution on YOUR website! Hi there, \n" ); document.write( "You are almost there, well done! \n" ); document.write( "n(n + 4) = 96 \n" ); document.write( "Multiply out and form a quadratic. \n" ); document.write( "n^2 + 4n = 96 \n" ); document.write( "n^2 + 4n - 96 = 0 \n" ); document.write( "Factorise: \n" ); document.write( "(n - 8)(n + 12) = 0 \n" ); document.write( "n - 8 = 0 \n" ); document.write( "n = 8 \n" ); document.write( "n + 12 = 0 \n" ); document.write( "n = -12 \n" ); document.write( "You have two answers: \n" ); document.write( "Either x = 8 \n" ); document.write( "or \n" ); document.write( "x = -12 \n" ); document.write( "Either will work:- \n" ); document.write( "If we take x = 8 \n" ); document.write( "Other number is 4 more \n" ); document.write( "so equals 12 \n" ); document.write( "8 x 12 = 96 \n" ); document.write( "Ok \n" ); document.write( "If we take x = -12 \n" ); document.write( "Other number is 4 more \n" ); document.write( "so equals -8 \n" ); document.write( "-8 x -12 = 96 \n" ); document.write( "The choice is yours. \n" ); document.write( "Hope this helps :-) \n" ); document.write( " |