a+b=-7
rearrange:
b= -a-7=-(a+7)
substitute into:
ab=30
-a(a+7)=30
-a^2-7a-30=0
a^2+7a+30=0
x = complex number, therefore there are no two Real numbers that exist that satisfy these two conditions.
-23
-17
-37
-23
-7 and +1
15
-13
The two numbers that add up to -6 and multiply to -7 are -1 and 7. This is because -1 + 7 = -6 and -1 * 7 = -7. These numbers satisfy both conditions given in the question.
The numbers are 3 and 4
161
-1
-1