What two numbers multiply to 174 and add up to 61?

Here we answer the question: "What two numbers multiply to 174 and add up to 61?"

The answer to your question is:

3 and 58

Below we illustrate and prove that 3 and 58 multiply to 174 and add up to 61:

3 × 58 = 174
3 + 58 = 61

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

x² + 61x + 174 = 0

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

(x + 3 ) (x + 58)

To summarize, since 3 and 58 multiply to 174 and add up 61, you know that the following is true:

x² + 61x + 174 = (x + 3 ) (x + 58)

Multiply To One Number and Add Up To Another
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