Question

The sum and product of two integers is 1 and -30 respectively find the two integers

Answer 1

Answer:

Let the numbers be x and y

==: x + y = 1

==: x = 1 - y

==: xy = -30

==: (1 - y) y = -30

==: y - y² + 30 = 0

==: y² - y - 30 = 0

==: y² + 5y - 6y - 30 = 0

==: y (y + 5) - 6 (y + 5) = 0

==: (y + 5) (y - 6) = 0

y = -5 and 6

If y = -5 then x = 6

If y = 6 then x = -5

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