Let the two numbers be represented by a and b.
Then, ab = 112 so b = 112/a.
And, a + b = -32......substituting for b this becomes :-
a + 112/a = -32........multiplying throughout by a
a2 + 112 = -32a.......re-arranging
a2 + 32a + 112 = 0
This equation factors (a + 4)(a + 28) = 0
When (a + 4) = 0 then a = -4......and thus b = -28
When (a + 28) = 0 then a = -28....and thus b = -4
The two numbers are -4 and -28.
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-9 and 20.
28
unfactorble i think
All numbers between negative one and zero are negative. When you multiply a number by a negative it becomes negative. Also, all numbers between negative one and zero are decimals. When you multiply a number by a decimal it becomes smaller. Thus, when you multiply a rational number by a number between negative one and zero, it becomes smaller and negative.
A positive number times another positive number will give you a positive answer. If you multiply two negative numbers together, you will also have a positive answer. The only way to get a negative answer is if you multiply a positive by a negative.