Brianna C.

asked • 13d

What two numbers multiply to -14 but add up to -5? Also, what two numbers multiply to -40 but add up to 3?

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Mark M. answered • 13d

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xy = -14-x2

x + y = -5, y = -x - 5


x(-x - 5) = -14

-x2 - 5x = -14

x2 + 5x = 14

x2 + 5x - 14 = 0


Can you solve for x and answer?


Do the second problem in the same manner.

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Tom K.

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Note that, in solving the quadratic, you are doing the mental math that you would do if you were guessing at the answer in the beginning, so making this into a quadratic does not really help (unless you complete the square or use the quadratic formula, which is clearly unnecessary in this case).
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