Math Problem Statement

Write two numbers that multiply to the value on top and add to the value on bottom -36 and -5

Solution

We need to find two numbers that multiply to -36 and add to -5.

Let's think through some pairs of factors for -36:

  • 1 and -36
  • 2 and -18
  • 3 and -12
  • 4 and -9
  • 6 and -6

Out of these, the pair that adds up to -5 is 4 and -9.

So, the two numbers are 4 and -9.

Would you like more details on how to solve these kinds of problems?

Here are five related questions to practice:

  1. Write two numbers that multiply to 30 and add to -13.
  2. Write two numbers that multiply to 20 and add to 9.
  3. Write two numbers that multiply to -24 and add to -2.
  4. Write two numbers that multiply to 56 and add to 15.
  5. Write two numbers that multiply to -48 and add to 2.

Tip: Always start by listing factor pairs of the product to narrow down the possibilities when solving these problems!

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Math Problem Analysis

Mathematical Concepts

Algebra
Factorization
Quadratic Equations

Formulas

Factor Pair Method
Sum and Product Method

Theorems

Fundamental Theorem of Algebra

Suitable Grade Level

Grades 7-9