Reason Abstractly Find two integers whose sum is -7 and whose
product is 12. Explain how you found the numbers.

Step-by-step explanation:

Let's represent the two integers with the variables and .

From the problem statement, we can create the following two equations:

With the first equation, we can subtract from both sides to isolate the variable to the left-hand side:

Now that we have a value for , we can plug it into the second equation and solve for :

Now, let's move everything to one side of the equation:

Factoring this quadratic will give us two values for :

Since we now know , we can plug this back into either of the original equations to get a value for , which will be .

So the two numbers that sum to and have a product of are .

the answer will be

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