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23-02-2022
Mathematics

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Two numbers whose product is 40 and sum is -22

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23-02-2022

Answer:

-2, -20

Step-by-step explanation:

x * y = 40 (1)

x + y = -22 (2)

Multiply by x on (2):

x^2 + xy = -22x

x^2 + 40 = -22x

x^2 + 22x + 40 = 0

(x + 2)(x + 20) = 0

x = -2, -20 (answer)

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