What two numbers multiply to 100 and add up to 52?

Here we answer the question: "What two numbers multiply to 100 and add up to 52?"

The answer to your question is:

2 and 50

Below we illustrate and prove that 2 and 50 multiply to 100 and add up to 52:

2 × 50 = 100
2 + 50 = 52

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

x² + 52x + 100 = 0

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

(x + 2 ) (x + 50)

To summarize, since 2 and 50 multiply to 100 and add up 52, you know that the following is true:

x² + 52x + 100 = (x + 2 ) (x + 50)

Multiply To One Number and Add Up To Another
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