What to numbers can you multiply to get 280 and add to get-18?
When you say "to numbers" I assume you meant "two numbers."
There is no solution.
For the product of two numbers to be 280, either both numbers must be positive or both numbers must be negative. For the sum of two numbers to be -18, one or both numbers must be negative. Taken together, both numbers must be negative.
We can find two numbers that multiply to 280 and add to +18, then simply take the negative of both numbers.
The square root of 280 is about 16.7. The sum of any two numbers that multiply to 280 must be at least twice that, or at least 33.4. Since 33.4 is greater than 18, there is no solution.
If you want to do it the hard way, take any pair of negative numbers that multiply together to 280, add them together, and see how close you come to -18. For example, -1 and -280 add to -281. -2 and -140 add to -142. -4 and -70 add to -74. -5 and -56 add to -61. -7 and -40 add to -47. -8 and -35 add to -43. -10 and -28 add to -38. -14 and -20 add to -34, which is as close as you can come in the integers.
Jun 25, 2014 |
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