What two numbers multiply to -135 and add up to 42?

Here we answer the question: "What two numbers multiply to -135 and add up to 42?"

The answer to your question is:

-3 and 45

Below we illustrate and prove that -3 and 45 multiply to -135 and add up to 42:

-3 × 45 = -135
-3 + 45 = 42

Are you asking because you are trying to figure out how to factor the following quadratic equation?

x² + 42x - 135 = 0

If so, the solution to factor the quadratic equation above is:

(x - 3 ) (x + 45)

To summarize, since -3 and 45 multiply to -135 and add up 42, you know that the following is true:

x² + 42x - 135 = (x - 3 ) (x + 45)

Multiply To One Number and Add Up To Another
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