SOLUTION: what are the factors of 10,350 that add to make -25

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Question 650164: what are the factors of 10,350 that add to make -25
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Use the quadratic formula to solve x%5E2-25x%2B10350=0 (you'll see why at the bottom)

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

x+=+%28-%28-25%29%2B-sqrt%28%28-25%29%5E2-4%281%29%2810350%29%29%29%2F%282%281%29%29

x+=+%2825%2B-sqrt%28625-%2841400%29%29%29%2F%282%29

x+=+%2825%2B-sqrt%28-40775%29%29%2F2

x+=+%2825%2Bsqrt%28-40775%29%29%2F2 or x+=+%2825-sqrt%28-40775%29%29%2F2

x+=+%2825%2B5i%2Asqrt%281631%29%29%2F2 or x+=+%2825-5i%2Asqrt%281631%29%29%2F2

Since we're getting complex solutions, this means that there is NO pair of real numbers that a) multiply to 10350 AND b) add to -25 at the same time