What two numbers multiply to -219 and add up to 70?

Here we answer the question: "What two numbers multiply to -219 and add up to 70?"

The answer to your question is:

-3 and 73

Below we illustrate and prove that -3 and 73 multiply to -219 and add up to 70:

-3 × 73 = -219
-3 + 73 = 70

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

x² + 70x - 219 = 0

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

(x - 3 ) (x + 73)

To summarize, since -3 and 73 multiply to -219 and add up 70, you know that the following is true:

x² + 70x - 219 = (x - 3 ) (x + 73)

Multiply To One Number and Add Up To Another
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