## vulloa22 2 years ago Find all solutions of the equation. x^4 − 6x^2 + 5 = 0

1. satellite73

\[(x^2-5)(x^2-1)=0\] is a start

2. ParthKohli

And almost the finish.

3. UsukiDoll

true.

4. UsukiDoll

hint: factor x^2-1

5. UsukiDoll

|dw:1359862100755:dw|

6. 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

7. UsukiDoll

|dw:1359862148598:dw|

8. UsukiDoll

take the square root of 5

9. UsukiDoll

|dw:1359862186896:dw|

10. UsukiDoll

so the answers are x = 1, -1, and whatever the last drawing is

11. 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

12. UsukiDoll

-3 does not equal to 0 if we plug x = 1 and -1 back into the equation

13. UsukiDoll

what wait wait wait ackkk

14. UsukiDoll

sorry I thought I saw a 4x^4 ok ok hold up

15. UsukiDoll

so... retrying this if x = -1 and 1|dw:1359862389372:dw|

16. UsukiDoll

17. UsukiDoll

solutions are -1 1 -squareroot(5) squareroot(5)

18. UsukiDoll

really 7 people watching and only 1 doing? lol ?

19. UsukiDoll

5 viewing and only me doing the problem...nice -__-