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In Mathematics / High School | 2014-03-31

What two numbers add up to 39 and multiply to 270?

Asked by fletcherstud

Answer (2)

The answer to your question is -45 and 6 as shown here:
-45 x 6 = -270 -45 + 6 = -39
Are you asking because you are trying to figure out how to factor the following quadratic equation?
x2 - 39x - 270 = 0
If so, the solution to factor the quadratic equation above is:
(X - 45 ) (X + 6)
To summarize, since -45 and 6 multiply to -270 and add up -39, you know that the following is true:
x2 - 39x - 270 = (X - 45 ) (X + 6)

Answered by amerikello | 2024-06-10

The two numbers that add up to 39 and multiply to 270 are 30 and 9. These two numbers were found by setting up equations based on their sum and product and solving a quadratic equation. This confirms that both conditions are met.
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Answered by amerikello | 2024-12-18