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x>y
I. xy = 400
II. x-y = 9.....III. x= 9 + y
Sustituyendo la ecuación III en la ecuación I:
(9+y)y = 400
9y + y² = 400
y² + 9y - 400=0
y= -9 +o- √(81 + 1600 / 2
y₁= -9 + 41/2.............................y₂ = -9 - 41/2
y₁ = 16......................................y₂ = -25
x₁ = 9-25 =-16
x₂ = 9+16 = 25
Números:
-16 , - 25
25 , 16