SOLUTION: find the length of the side of a square, given that the area of the square minus the length of a side is 1056
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Question 866832: find the length of the side of a square, given that the area of the square minus the length of a side is 1056 Answer by LinnW(1048) (Show Source):
You can put this solution on YOUR website! Set s = side length
area = 1056 - s
area = s^2
So 1056 -s = s^2
add -1056 + s to each side
0 = s^2 + s -1056
Since 1056 = 32 * 33 we can factor the above
0 = (s + 33)*(s - 32)
So s = -33 or s = 32
Since a side length must be positive , s = 32
So the area = 1056 - 32 = 1024
Notice that 32 * 32 = 1024 , so 32 for a side length checks out.
