Question

What numbers can you multiply to get 14 and add to get -5?

Answer 1

Answer:

No solution.

Step-by-step explanation:

Let the numbers be x and y.

Therefore,

xy= 14, y=14/x

x+y = -5

=> x + 14/x +5 = 0

=> x² + 5x + 14 = 0

Discrimant of this equation,

D = 5² - 14×4 = 25 - 56 <0

Hence, no solution,

i.e. No such numbers exist that add to give -5 and multiply to give 14

Answer 2

Answer:

Here we answer the question: "What two numbers multiply to 14 and add up to 15?"

The answer to your question is:

1 and 14



as proven here:

1 x 14 = 14

1 + (14) = 15

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

x2 + 15x + 14 = 0

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

(X + 1 ) (X + 14)

To summarize, since 1 and 14 multiply to 14 and add up 15, you know that the following is true:

x2 + 15x + 14 = (X + 1 ) (X + 14)