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Solve \(x(x + 3) = -9\) NOT by the quadratic formula.

Mathematics
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Well, clearly x cannot be positive, as that would mean x+3 is positive too. x must be negative, but no less than -3, or else x+3 would also be negative.
Complex numbers?
I know them by the quadratic formula

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Other answers:

maybe?
Oh, right. I forgot to assume the real-ness of x... I'm lost :D
  • phi
you can complete the square as an alternative to the quadratric formula
That's kinda like using the quadratic formula anyway? :D
  • phi
you will get complex roots
Well\[x^2 + 3x + 2.75 = -9 + 2.75\]
What's with the 2.75? You mean 2.25, right?
Yes, whoops
can i use compeleting square ??? or factor mehod ?
\[(x + 1.5)^2 = -9 + 2.25\]Yes, I wanna know how to factor this over \(\mathbb C\) without knowing the roots!
It seems like it's already almost done?
well, i guess this is a good condidate for completing square .
OK, completing the square worked out well. Thanks @phi :-)

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