anonymous
  • anonymous
help with this equation PLEASE!?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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anonymous
  • anonymous
\[y ^{5}-81y=0\]
dumbcow
  • dumbcow
First factor out a y
anonymous
  • anonymous
I know there are 5 solutions, i'm just not sure exactly what the next steps look like.

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More answers

dumbcow
  • dumbcow
leaving y=0 y^4 - 81 =0
dumbcow
  • dumbcow
y^4=81 y = +-81^1/4
anonymous
  • anonymous
oh ok, so the other ones would be the same thing but 1/3, 1/3, 1...?
anonymous
  • anonymous
i meant 1/2
dumbcow
  • dumbcow
hmm fourth root of 81 is 3 3*3*3*3=81 solutions would be 0,3,-3
anonymous
  • anonymous
it says it has 5 solutions
dumbcow
  • dumbcow
the other 2 would be non-real solutions i believe
dumbcow
  • dumbcow
if you graph this you will see it only crosses x-axis 3 times
anonymous
  • anonymous
I don't need to graph it I just need to type in the 5 answers. What would the non real solutions be?
dumbcow
  • dumbcow
ok y^2 +9 =0 y^2 = -9 y = sqrt(-9) = sqrt(9)*i y = +-3i
anonymous
  • anonymous
so 0,-9,\[\sqrt{9}\sqrt{9}\]i, and -3i?
anonymous
  • anonymous
sorry but my online assignment is picky with the format so i want to make sure I type it in correct
anonymous
  • anonymous
oops, just realized i typed it wrong
dumbcow
  • dumbcow
you are correct y = 0,-3,3,-3i,3i
anonymous
  • anonymous
Oh, because it's the square root of that so this is the final answer.. Gotca, thanks!

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