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Write pair of integers whose product is −84 and whose difference is 20

Answers

Answered by manishkumag06
0

Answer:

x = -6, y = 14

x = -14, y = 6

Step-by-step explanation:

x * y = -84

x = -84/y ----------------------- equation 1

--------------------

y - x = 20

x = y -20 ------------------------ equation 2

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from equation 1 & 2

-84 / y = y - 20

-84 = y^{2} - 20y

y^{2} - 20y + 84 = 0

y^{2} - 14y - 6y  + 84 = 0

y(y-14) - 6(y-14) = 0

(y-14) (y-6) = 0

Answer of y can be either 14 or 6

x = y -20 = 14 - 20 = -6

x = y -20 = 6 - 20  = -14

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