anonymous
  • anonymous
Find all solutions of the equation. x^4 − 6x^2 + 5 = 0
Mathematics
katieb
  • katieb
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anonymous
  • anonymous
\[(x^2-5)(x^2-1)=0\] is a start
ParthKohli
  • ParthKohli
And almost the finish.
UsukiDoll
  • UsukiDoll
true.

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UsukiDoll
  • UsukiDoll
hint: factor x^2-1
UsukiDoll
  • UsukiDoll
|dw:1359862100755:dw|
UsukiDoll
  • UsukiDoll
take each equation piece by piece...aww #(*&@*(# it only x^2-5 for piece by piece because I can see that x = 1 and -1
UsukiDoll
  • UsukiDoll
|dw:1359862148598:dw|
UsukiDoll
  • UsukiDoll
take the square root of 5
UsukiDoll
  • UsukiDoll
|dw:1359862186896:dw|
UsukiDoll
  • UsukiDoll
so the answers are x = 1, -1, and whatever the last drawing is
UsukiDoll
  • UsukiDoll
oh wait we may need to test them ... well plug the x values back into the equation. I can see that 1 and -1 doesn't equal to 0
UsukiDoll
  • UsukiDoll
-3 does not equal to 0 if we plug x = 1 and -1 back into the equation
UsukiDoll
  • UsukiDoll
what wait wait wait ackkk
UsukiDoll
  • UsukiDoll
sorry I thought I saw a 4x^4 ok ok hold up
UsukiDoll
  • UsukiDoll
so... retrying this if x = -1 and 1|dw:1359862389372:dw|
UsukiDoll
  • UsukiDoll
there it does equal sorry made a mistake bad eyes
UsukiDoll
  • UsukiDoll
solutions are -1 1 -squareroot(5) squareroot(5)
UsukiDoll
  • UsukiDoll
really 7 people watching and only 1 doing? lol ?
UsukiDoll
  • UsukiDoll
5 viewing and only me doing the problem...nice -__-

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