ParthKohli
  • ParthKohli
Solve \(x(x + 3) = -9\) NOT by the quadratic formula.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
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.
ParthKohli
  • ParthKohli
Complex numbers?
ParthKohli
  • ParthKohli
I know them by the quadratic formula

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

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