Let's call the lesser number x and the other one x+8
Explanation:
The product x⋅(x+8)=240→
Or: x2+8x=240→
We can rework this by subtracting 240 from both sides:
x2+8x−240=0
Now we factor −240 into two factors that add up to 8
After some trying we find 20and−12
The equation turns into
(x+20)(x−12)=0
→x=−20orx=12
So the pairs of numbers will be:
−20and−12 or +12and+20
