2 numbers that add up makes 5 but multiplied makes -36

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2 numbers that add up makes 5 but multiplied makes -36

Let the first number be x and the second number be y. We're given two equations:

1. x + y = 5
2. xy = -36

Rearrange equation (1) by subtracting y from each side:

1. x = 5 - y
2. xy = -36

Substitute equation (1) for x into equation (2):
(5 - y)y = -36
5y - y^2 = -36

Add 36 to each side:
-y^2 + 5y + 36 = 0

We have a quadratic equation. To solve this, we type it in our search engine and solve to get:
y = (-4, 9)

We check our work for each equation:

1. -4 + 9 = -5
2. -4(9) = -36

They both check out