82.8k views
2 votes
Find two numbers that multiply to 36 and add up to -20

2 Answers

4 votes

Answer:

Let's call the two numbers we need to find "x" and "y". We know that:

- x times y equals 36

- x plus y equals -20

To solve for x and y, we can use a system of equations. We can start by using the first equation to solve for one of the variables in terms of the other. Let's solve for y:

x times y equals 36

y equals 36 divided by x

Now we can substitute this expression for y into the second equation and solve for x:

x plus y equals -20

x plus (36 divided by x) equals -20

Multiplying both sides of the equation by x gives us:

x² + 36 = -20x

Moving all the terms to one side gives us:

x² + 20x + 36 = 0

We can factor this quadratic equation to get:

(x + 2)(x + 18) = 0

So either x + 2 = 0 or x + 18 = 0. This gives us two possible values for x:

- x = -2, which means y = 36/-2 = -18

- x = -18, which means y = 36/-18 = -2

So the two numbers that multiply to 36 and add up to -20 are -2 and -18.

Explanation

User Brina
by
8.2k points
5 votes
-2(-18)=36
-2+-18=-20
User Compostus
by
7.8k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories