SOLUTION: What two numbers multiply to get 1260, but then subtract to get 73? Help!

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Question 668124: What two numbers multiply to get 1260, but then subtract to get 73? Help!
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Let x be the first number and y be the second number.

Let x be the larger number.

"two numbers multiply to get 1260" means that x%2Ay+=+1260

"then subtract to get 73" means that x-y=73. Solve this for x to get x+=+y%2B73

Now plug this into x%2Ay+=+1260 to get %28y%2B73%29%2Ay+=+1260

Now solve for y:

%28y%2B73%29%2Ay+=+1260

y%28y%2B73%29+=+1260

y%5E2%2B73y+=+1260

y%5E2%2B73y+-+1260+=+0

Use the quadratic formula to solve for y

y+=+%28-b%2B-sqrt%28b%5E2-4ac%29%29%2F%282a%29

y+=+%28-%2873%29%2B-sqrt%28%2873%29%5E2-4%281%29%28-1260%29%29%29%2F%282%281%29%29

y+=+%28-73%2B-sqrt%285329-%28-5040%29%29%29%2F%282%29

y+=+%28-73%2B-sqrt%285329%2B5040%29%29%2F%282%29

y+=+%28-73%2B-sqrt%2810369%29%29%2F2

y+=+%28-73%2Bsqrt%2810369%29%29%2F2 or y+=+%28-73-sqrt%2810369%29%29%2F2

y+=+%28-73%2Bsqrt%2810369%29%29%2F2 or y+=+%28-73-sqrt%2810369%29%29%2F2

y+=+14.414 or y+=+-87.414

Note: Solutions above are approximate

So because we got an approximate answer (and not a fraction), something is making me think there's a typo somewhere. Could the actual question really be

"What two numbers multiply to get 1260, but then *add* to get 73"
???