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: x + y = 5 xy = -36 Rearrange equation (1) by subtracting y from each side: x = 5 - y 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: -4 + 9 = -5 -4(9) = -36 They both check out