The Solution:
The question says two numbers are multiplied to get -50, but when added we get 5.
To find the two numbers, we shall say
Let one of the numbers be a, and the other b.
So that
Solving both equations simultaneously by the substitution method, we get
Putting eqn(3) into eqn(1), we get
Solving the above quadratic equation by the Factorisation Method, we get
So,
Substituting -5 or 10 for b in eqn(3), we get
So, the two numbers are -5 and 10.
Therefore, the correct answers are -5 and 10