What two numbers multiply to 196 and add up to 100?




Here we answer the question: "What two numbers multiply to 196 and add up to 100?"

The answer to your question is:

2 and 98


Below we illustrate and prove that 2 and 98 multiply to 196 and add up to 100:

2 × 98 = 196
2 + 98 = 100

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

x2 + 100x + 196 = 0

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

(x + 2 ) (x + 98)

To summarize, since 2 and 98 multiply to 196 and add up 100, you know that the following is true:

x2 + 100x + 196 = (x + 2 ) (x + 98)


Multiply To One Number and Add Up To Another
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