What two numbers multiply to 742 and add up to -67?

Here we answer the question: "What two numbers multiply to 742 and add up to -67?"

The answer to your question is:

-53 and -14

Below we illustrate and prove that -53 and -14 multiply to 742 and add up to -67:

-53 × -14 = 742
-53 + -14 = -67

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

x² - 67x + 742 = 0

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

(x - 53 ) (x - 14)

To summarize, since -53 and -14 multiply to 742 and add up -67, you know that the following is true:

x² - 67x + 742 = (x - 53 ) (x - 14)

Multiply To One Number and Add Up To Another
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