Answer:
the two numbers that add up to 3 but multiply to 18 are 6 and -3.
Explanation:
We can start by using algebra to solve for the two numbers. Let x and y be the two numbers we are looking for. Then we can write two equations:
x + y = 3 (since the numbers add up to 3)
xy = 18 (since the numbers multiply to 18)
We can solve for one of the variables in terms of the other using the first equation. For example, we can solve for y:
y = 3 - x
Then we can substitute this expression for y into the second equation:
x(3 - x) = 18
Expanding the left side and simplifying, we get:
3x - x^2 = 18
Rearranging and factoring, we get:
x^2 - 3x + 18 = 0
(x - 3)(x - 6) = 0
Therefore, either x = 3 or x = 6. If x = 3, then y = 3 - x = 0, which doesn't work since we want two numbers that multiply to 18. So the two numbers are x = 6 and y = 3 - x = -3.
So the two numbers that add up to 3 but multiply to 18 are 6 and -3.