What two numbers multiply to 49 and add up to 50?

Here we answer the question: "What two numbers multiply to 49 and add up to 50?"

The answer to your question is:

1 and 49

Below we illustrate and prove that 1 and 49 multiply to 49 and add up to 50:

1 × 49 = 49
1 + 49 = 50

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

x² + 50x + 49 = 0

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

(x + 1 ) (x + 49)

To summarize, since 1 and 49 multiply to 49 and add up 50, you know that the following is true:

x² + 50x + 49 = (x + 1 ) (x + 49)

Multiply To One Number and Add Up To Another
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