Emmalie S.
asked 05/30/20Use the digits -9 to 9 (only once) to create a real solution between 30 and 80
Use the digits -9 to 9 (only once) to create a real solution between 30 and 80. Show your work to justify your answer.
and
Use the digits -9 to 9 to complete the puzzle below. Try all the combinations. But as you begin doing that, you will realize that in some cases you are looking for factor combinations with a particular sum or difference. You will see that some numbers have to be greater than a particular value in order to produce the product you are looking for. Show your work to confirm your solution.
1 Expert Answer

Jeremiah T. answered 05/31/20
Award Winning Tutor for Algebra and Precalculus
For the first image I believe many solutions are possible. One digit should be negative and one positive. For example, (-9i)(8i) = 72(-1) = 72
Or (5i)(-8i) = -40 * -1 = 40
For the second image, I can only think of trying different combinations of numbers using First, Inner, Outer, Last. This puzzle is tricky because the Last multiplication will result in a negative number that gets combined with the First.
So I didn't find an exact answer, but I came close: (8 + 3i)(5 + 2i) = 40 + 16i + 15i + (6)(-1) = 34 + 31i
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Emmalie S.
Complex Numbers (i), Operations w/ Functions05/31/20