What two numbers multiply to 150 and add up to 25?

Here we answer the question: "What two numbers multiply to 150 and add up to 25?"

The answer to your question is:

10 and 15

Below we illustrate and prove that 10 and 15 multiply to 150 and add up to 25:

10 × 15 = 150
10 + 15 = 25

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

x² + 25x + 150 = 0

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

(x + 10 ) (x + 15)

To summarize, since 10 and 15 multiply to 150 and add up 25, you know that the following is true:

x² + 25x + 150 = (x + 10 ) (x + 15)

Multiply To One Number and Add Up To Another
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