What two numbers multiply to 51 and add up to 52?

Here we answer the question: "What two numbers multiply to 51 and add up to 52?"

The answer to your question is:

1 and 51

Below we illustrate and prove that 1 and 51 multiply to 51 and add up to 52:

1 × 51 = 51
1 + 51 = 52

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

x² + 52x + 51 = 0

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

(x + 1 ) (x + 51)

To summarize, since 1 and 51 multiply to 51 and add up 52, you know that the following is true:

x² + 52x + 51 = (x + 1 ) (x + 51)

Multiply To One Number and Add Up To Another
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