Destinyyyy
  • Destinyyyy
Simplify the equation. The solve 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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Destinyyyy
  • Destinyyyy
x(x+6)=-54
Destinyyyy
  • Destinyyyy
x^2+6x=-54 x^2+6x+54=0 -(6)+- square root (6)^2 -4(1)(54)/2(1) -6+- square root 36-216/2 -6+- square root -180/2
Destinyyyy
  • Destinyyyy
-6+- square root 9*20/2 -6+- 3i square root 20/2

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Destinyyyy
  • Destinyyyy
Im stuck there.
Destinyyyy
  • Destinyyyy
Yes there is.. The final answer is -3+-3i square root 5
rishavraj
  • rishavraj
see yeah theres solution
rishavraj
  • rishavraj
see D = -180 so \[x = \frac{ -6 \pm \sqrt{-180} }{ 2 }\]
Destinyyyy
  • Destinyyyy
Yes.
Destinyyyy
  • Destinyyyy
Wow thanks for not helping.
jim_thompson5910
  • jim_thompson5910
hint: \[\Large \sqrt{20} = \sqrt{4*5}\] \[\Large \sqrt{20} = \sqrt{4}*\sqrt{5}\] \[\Large \sqrt{20} = 2*\sqrt{5}\]
Destinyyyy
  • Destinyyyy
What???
jim_thompson5910
  • jim_thompson5910
You got to \[\Large x = \frac{-6 \pm 3i\sqrt{20}}{2}\]
Destinyyyy
  • Destinyyyy
Yes..
jim_thompson5910
  • jim_thompson5910
the root 20 can be replaced \[\Large x = \frac{-6 \pm 3i*\sqrt{20}}{2}\] \[\Large x = \frac{-6 \pm 3i*{\color{red}{\sqrt{20}}}}{2}\] \[\Large x = \frac{-6 \pm 3i*{\color{red}{2\sqrt{5}}}}{2}\]
jim_thompson5910
  • jim_thompson5910
then you can factor out 2 from the numerator and cancel the '2's
Destinyyyy
  • Destinyyyy
Then that would leave me with -6+- 3i square root 5
jim_thompson5910
  • jim_thompson5910
you factor out 2 from the -6 as well \[\Large x = \frac{-6 \pm 3i*2\sqrt{5}}{2}\] \[\Large x = \frac{2(-3 \pm 3i\sqrt{5})}{2}\]
Destinyyyy
  • Destinyyyy
Okay.. So I didnt mess up any where.. Thank you @jim_thompson5910
jim_thompson5910
  • jim_thompson5910
you're welcome
jim_thompson5910
  • jim_thompson5910
I think you meant to say `-3+- 3i square root 5` if so then you are correct since the answers are \[\Large x = -3\pm3i\sqrt{5}\]
Destinyyyy
  • Destinyyyy
Yes I did

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