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No pairs of integers solve those equations.
Since sqrt 5 > sqrt 4, the addition requires that one of the numbers is negative and the other positive, so they can have no positive product 5. There are complex (imaginary) solutions.
x + y = -4
x * y = 5
Substituting x for y
x (-x-4) = 5
-x2 - 4x - 5 = 0
x2 + 4x + 5 = 0
There are no integer solutions. The complex solutions are
x = [-1+2i]/2 or [-1-2i]/2 where i = sqrt (-1)
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Note that if the values are reversed
x + y = -5
x * y = 4
the answer is the pair (-1, -4)
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What adds to equal 31 but multiplies to equal 20?
0.6592 and 30.3408 (to 4 dp).
What multiplies to equal 16 but adds to equal -8?
-4 x -4 = +16 = 16 -4 + -4 = -8
What adds to 28 and multiplies to 4?
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4
What adds to get 5 and multiplies to get -4?
1
What multiplies to 24 and adds to -4?
20
What adds to 1 and multiplies to -8?
-4 plus/minus square root of 15.
What adds to equal 31 but multiplies to equal 20?
0.6592 and 30.3408 (to 4 dp).
What multiplies to equal 16 but adds to equal -8?
-4 x -4 = +16 = 16 -4 + -4 = -8
What adds to -1 and multiplies to -8?
-4 plus/minus square root of 15.
What adds to 5 but multiplies to 4?
4 1
What multiplies to -60 but adds to 4?
-56
What adds to 28 and multiplies to 4?
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4
What adds to get 5 and multiplies to get -4?
1
What multiplies to 24 and adds to -4?
20
What multiplies to -12 and adds up to -4?
-16
What multiplies to 44 and adds to 15?
4 and 11.
What adds to get 9 and multiplies to get 20?
4 and 5
