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atc1921 atc1921
  • 01-09-2016
  • Mathematics
Answered

what two numbers multiply to get 30 also add up to get -4????

Verified Answer :

nobillionaireNobley
nobillionaireNobley nobillionaireNobley
  • 04-09-2016

Let the two numbers be x and y
xy = 30 . . . . . (1)
x + y = -4 . . . . .(2)
From (2), x = -4 - y . . . . . (3)
Putting (3) into (1), we have:
(-4 - y)y = 30
-4y - y^2 = 30
y^2 + 4y + 30 = 0
y = -2 + i√26 and x = -2 - i√26

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