SOLUTION: Question: One Number is 7 more than another. The difference between their squares is 91. What are the numbers? Additional Information: Find the smaller and bigger number My

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Question 981936: Question: One Number is 7 more than another. The difference between their squares is 91. What are the numbers?
Additional Information: Find the smaller and bigger number
My Work: I have tried to piece together and this is what ive come up with but, with no success.
x(x+7)=91
x^2+7x-91=0
Than i went to find the 2 numbers
x≈6.66,−13.66
Where do i go from here?


Answer by Cromlix(4381) About Me  (Show Source):
You can put this solution on YOUR website!
Hi there,
Two numbers x, x + 7
Difference between squares
(x + 7)^2 - x^2 = 91
Multiply out
x^2 + 14x + 49 - x^2 = 91
Collect like terms
x^2 - x^2 + 14x = 91 - 49
14x = 42
x = 3
So numbers are 3 and 10
Hope this helps :-)