x * y = 30
x + y = - 3
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y = - 3 - x
x * ( - 3 - x ) = 30
- 3 x - x² = 30
x² + 3 x + 30 = 0
x 1/2 = ( - 3 +/- √(9 - 120 ) ) / 2 =
[tex]= \frac{-3+/- \sqrt{-111} }{2}= \\ x _{1} = \frac{-3+i \sqrt{111} }{2} \\ x_{2} = \frac{-3-i \sqrt{111} }{2} [/tex]
Answer: Those two numbers are:
[tex]x= \frac{-3- i\sqrt{111} }{2} \\ y = \frac{-3+i \sqrt{111} }{2} [/tex]
