Sure, let's solve this step by step.
We are given two requirements:
1. The product of two numbers should be -87.
2. The sum of these two numbers should be -26.
Step-by-step solution:
1. Identify the product and the sum:
- We need two numbers such that their product is -87.
- These two numbers must also add up to -26.
2. Consider the factors of -87:
- We can list pairs of numbers that multiply together to give -87.
- Since -87 is negative, one number must be positive, and the other must be negative.
3. Test possible pairs to check the sum:
- Test different pairs of factors and check if their sum is -26.
For instance:
- Let's test -29 and 3:
- Their product: (-29) * 3 = -87 (Product matched)
- Their sum: (-29) + 3 = -26 (Sum matched)
So the pairs that meet both conditions are:
- -29 and 3
These two numbers satisfy both the conditions given in the problem:
- They multiply to give -87.
- Their sum is -26.
Thus, the two numbers you are looking for are -29 and 3.
