What two numbers multiply to 650 and add up to 75?

Here we answer the question: "What two numbers multiply to 650 and add up to 75?"

The answer to your question is:

10 and 65

Below we illustrate and prove that 10 and 65 multiply to 650 and add up to 75:

10 × 65 = 650
10 + 65 = 75

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

x² + 75x + 650 = 0

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

(x + 10 ) (x + 65)

To summarize, since 10 and 65 multiply to 650 and add up 75, you know that the following is true:

x² + 75x + 650 = (x + 10 ) (x + 65)

Multiply To One Number and Add Up To Another
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