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Write pair of integers whose product is −84 and whose difference is 20
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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
--------------
from equation 1 & 2
-84 / y = y - 20
-84 = - 20y
- 20y + 84 = 0
- 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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