document.write( "Question 981936: Question: One Number is 7 more than another. The difference between their squares is 91. What are the numbers? \r
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document.write( "Additional Information: Find the smaller and bigger number\r
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document.write( "My Work: I have tried to piece together and this is what ive come up with but, with no success.\r
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document.write( "x(x+7)=91
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document.write( "x^2+7x-91=0\r
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document.write( "Than i went to find the 2 numbers
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document.write( "x≈6.66,−13.66\r
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document.write( "Where do i go from here?\r
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document.write( "
Algebra.Com's Answer #602832 by Cromlix(4381) You can put this solution on YOUR website! Hi there, \n" ); document.write( "Two numbers x, x + 7 \n" ); document.write( "Difference between squares \n" ); document.write( "(x + 7)^2 - x^2 = 91 \n" ); document.write( "Multiply out \n" ); document.write( "x^2 + 14x + 49 - x^2 = 91 \n" ); document.write( "Collect like terms \n" ); document.write( "x^2 - x^2 + 14x = 91 - 49 \n" ); document.write( "14x = 42 \n" ); document.write( "x = 3 \n" ); document.write( "So numbers are 3 and 10 \n" ); document.write( "Hope this helps :-) \n" ); document.write( " |