Question

write two numbers that multiply to the value on top and add to the value on bottom.
14
×
□ □
+
−9

Explanation:

Step1: Define variables

Let the two numbers be $x$ and $y$.
We know:
$$x \times y = 14$$
$$x + y = -9$$

Step2: Find factor pairs of 14

Factor pairs of 14 are: $(1,14)$, $(-1,-14)$, $(2,7)$, $(-2,-7)$

Step3: Check sum of pairs

Test $-2 + (-7) = -9$, which matches the required sum.
Verify product: $(-2) \times (-7) = 14$, which matches the required product.

Answer:

$-2$ and $-7$