What two numbers multiply to 150 and add up to 31?

Here we answer the question: "What two numbers multiply to 150 and add up to 31?"

The answer to your question is:

6 and 25

Below we illustrate and prove that 6 and 25 multiply to 150 and add up to 31:

6 × 25 = 150
6 + 25 = 31

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

x² + 31x + 150 = 0

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

(x + 6 ) (x + 25)

To summarize, since 6 and 25 multiply to 150 and add up 31, you know that the following is true:

x² + 31x + 150 = (x + 6 ) (x + 25)

Multiply To One Number and Add Up To Another
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