anonymous
  • anonymous
Solve (z + 6)2 = 5. A. B. C. D.
Mathematics
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
jamiebookeater
  • jamiebookeater
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
Might help: http://www.mathpapa.com/algebra-calculator.html also shows you step by step
anonymous
  • anonymous
|dw:1432838616284:dw|
anonymous
  • anonymous
i get confused after this?@KendrickLamar2014

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

anonymous
  • anonymous
the answer choices didnt go through, i will wrte them out through the draw tool! @KendrickLamar2014
anonymous
  • anonymous
|dw:1432838835991:dw| @KendrickLamar2014
anonymous
  • anonymous
@KendrickLamar2014
KendrickLamar2014
  • KendrickLamar2014
My guess would be choice C, not 100% sure tho.
KendrickLamar2014
  • KendrickLamar2014
@Michele_Laino
anonymous
  • anonymous
im in between B and c?
KendrickLamar2014
  • KendrickLamar2014
@Luigi0210 @kropot72
anonymous
  • anonymous
help!!! @KendrickLamar2014 @ssssss @Vocaloid @AriPotta
Vocaloid
  • Vocaloid
OH MY GOODNESS, ok, I didn't realize that the 2 was an exponent!
Vocaloid
  • Vocaloid
that changes everything! (z + 6)^2 = 5
Vocaloid
  • Vocaloid
take the square root of each side subtract 6 from each side
Luigi0210
  • Luigi0210
\(\Large (z+6)^2=5\) \(\Large \sqrt{(z+6)^2}=\sqrt{5} \) \(\Large z+6=\pm \sqrt{5} \) \(\Large z+6-6=\pm\sqrt{5}-6\) \(\Large \color{green}{z=\pm\sqrt{5}-6}\)
KendrickLamar2014
  • KendrickLamar2014
Oh the 2 is an exponent. No wonder I could not find the answer :P
anonymous
  • anonymous
oh!
Luigi0210
  • Luigi0210
Good luck \(\Huge \color{red}{\star^{\star}}\)
KendrickLamar2014
  • KendrickLamar2014
So the answer is: ______
anonymous
  • anonymous
@Luigi0210 thats not an answer choice but whould it be c? its the closest one?
Vocaloid
  • Vocaloid
hint: A + B = B + A
Michele_Laino
  • Michele_Laino
is z a complex number?
Vocaloid
  • Vocaloid
when you add two terms together you can switch the order
anonymous
  • anonymous
okay so my best assumption would be b or c?
anonymous
  • anonymous
yes it is what it will equal up to!:) @Michele_Laino
Luigi0210
  • Luigi0210
It's magic! \(\Large \pm \sqrt{5}-6 = \color{red}{ -6\pm \sqrt{5}}=\color{green}{-6+\sqrt{5} ~or~ -6-\sqrt{5}}\)
Michele_Laino
  • Michele_Laino
if z is a complex number, then your equation, can be rewritten as below: \[\Large {\left( {x + 6 + iy} \right)^2} = 5\] wher i is such that: \[\Large {i^2} = - 1\] and I have used: \[\Large z = x + iy\]
Michele_Laino
  • Michele_Laino
so we are led to this subsequent algebraic system: \[\Large \left\{ {\begin{array}{*{20}{c}} {\left( {x + 6} \right)y = 0} \\ {{{\left( {x + 6} \right)}^2} - {y^2} = 5} \end{array}} \right.\] whose acceptable solutions are: \[\Large \left\{ \begin{gathered} {x_1} = - 6 + \sqrt 5 \hfill \\ {y_1} = 0 \hfill \\ \end{gathered} \right.,\quad \left\{ {\begin{array}{*{20}{c}} {{x_2} = - 6 - \sqrt 5 } \\ {{y_2} = 0} \end{array}} \right.\]

Looking for something else?

Not the answer you are looking for? Search for more explanations.