Write two numbers that multiply to the value on top and add to the value on bottom -48 and 2


We are looking for two numbers that multiply to \(-48\) and add to \(2\).

Let's call the two numbers \(x\) and \(y\). We need to solve:

\[
x \cdot y = -48
\]
\[
x + y = 2
\]

We can factor this by trial or using a system of equations. The correct pair of numbers is \(8\) and \(-6\), because:

\[
8 \cdot (-6) = -48
\]
\[
8 + (-6) = 2
\]

So, the two numbers are **8** and **-6**.

Would you like more details or have any other questions? 

Here are five related questions for further practice:
1. Find two numbers that multiply to 36 and add to -13.
2. Find two numbers that multiply to -30 and add to 1.
3. Solve for two numbers that multiply to 20 and add to 9.
4. What two numbers multiply to -60 and add to 4?
5. Find two numbers that multiply to 24 and add to -10.

**Tip**: When working with quadratic factorization, always check the signs of the products and sums first to determine the nature of the numbers you're looking for!

Write two numbers that multiply to the value on top and add to the value on bottom -48 and 2.

This problem involves finding two numbers that multiply to -48 and add to 2, using algebraic concepts such as factoring and systems of equations. Suitable for students in Grades 7-9, this step-by-step guide will help strengthen your understanding of factoring in quadratic equations.

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