Here we answer the question: "What two numbers multiply to 414 and add up to 75?"
The answer to your question is:
6 and 69
Below we illustrate and prove that 6 and 69 multiply to 414 and add up to 75:
6 × 69 = 414
6 + 69 = 75
Are you asking because you are trying to figure out how to factor the following quadratic equation?
x2 + 75x + 414 = 0
If so, the solution to factor the quadratic equation above is:
(x + 6 ) (x + 69)
To summarize, since 6 and 69 multiply to 414 and add up 75, you know that the following is true:
x2 + 75x + 414 = (x + 6 ) (x + 69)
Multiply To One Number and Add Up To Another
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