What Two Numbers Equal 9 When Added But When Multiplied Equals 60?

The two numbers you are interested in are the solutions to the equation
  x(9-x) = 60

This equation can be rewritten to standard form and solved using the quadratic formula.
  -x2 + 9x - 60 = 0
  x = (-9 ±√(92 - 4(-1)(-60)))/(2(-1))
  = (9 ±√(81-240))/2
  = (9 ±i√159)/2

This is a pair of complex numbers. There is no real solution. The answer is
  (9+i√159)/2, (9-i√159)/2

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