anonymous
  • anonymous
Can someone explain to me, STEP BY STEP how to do this problem please, its Algebra 2-Complex numbers. -6(x+5)^2=120
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
hartnn
  • hartnn
first divide both sides by -6 what u get ?
hartnn
  • hartnn
and u should know that \(\huge \sqrt{-1}=i\)
anonymous
  • anonymous
6(x+5)^2+120 = (x+5)^2 - 20i^2 =0 ( and then factorise ) as i^2 =-1

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anonymous
  • anonymous
hartn good explanation and asking for participation . well done !!
anonymous
  • anonymous
|dw:1352352097064:dw|
richyw
  • richyw
\[-6(x+5)^2=120\]\[(x+5)^2=-\frac{120}{6}\]\[x+5=\sqrt{-\frac{120}{6}}\]\[x+5=\sqrt{-20}\]\[x=\sqrt{-20}-5\]\[x=\sqrt{20}i-5\]\[x=\sqrt{4\cdot 5}i-5\]x=2\sqrt{5}i-5
anonymous
  • anonymous
Now take the square root of the RHS .
richyw
  • richyw
\[x=2\sqrt{5}i-5\]
anonymous
  • anonymous
Don't just post the answer...
hartnn
  • hartnn
i don't think @CarolineJean wants any of your solutions, she wants to understand and none of you are helping by giving steps out...
anonymous
  • anonymous
@hartnn yeah, thanks :)
richyw
  • richyw
oops just forgot the \(\pm\)
anonymous
  • anonymous
Now take the square root. What do you get?
anonymous
  • anonymous
I don't think you HAVE to simplify...
richyw
  • richyw
I dunno it's how I learn. sorry. I will leave.
anonymous
  • anonymous
wow thanks everyone that helped alot :O i have a test tomorrow & didn't know how to do this type of problem but i understand now, thanks ^.^
anonymous
  • anonymous
you go hartn !
anonymous
  • anonymous
Ohh you understand? :) Good :) .
anonymous
  • anonymous
omg the whole time i was trying to figure out how to do it i was trying to figure out how everyone was getting 20... i feel dumb now.... x)
anonymous
  • anonymous
Haha :) .
richyw
  • richyw
if you are following my (huge list) of steps. just don't forget to take bot the positive and negative root. So you should get \(x=-2i\sqrt{5}-5\) and \(x=2i\sqrt{5}-5\)
hartnn
  • hartnn
x=.... OR x=... either of them is a solution, not both
anonymous
  • anonymous
yay ! i got that ! @richyw
anonymous
  • anonymous
thank you to the only 2 ppl that really explained what to do lol @hartnn @richyw
anonymous
  • anonymous
Not me? ;) . Jk Jk . Glad you understood :) .
anonymous
  • anonymous
sorry didn't see yours ! :O @Dido525

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