What two numbers multiply to 500 and add up to 252?

Here we answer the question: "What two numbers multiply to 500 and add up to 252?"

The answer to your question is:

2 and 250

Below we illustrate and prove that 2 and 250 multiply to 500 and add up to 252:

2 × 250 = 500
2 + 250 = 252

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

x² + 252x + 500 = 0

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

(x + 2 ) (x + 250)

To summarize, since 2 and 250 multiply to 500 and add up 252, you know that the following is true:

x² + 252x + 500 = (x + 2 ) (x + 250)

Multiply To One Number and Add Up To Another
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