SOLUTION: Solve. Simplify, use radicals if needed, rationalize all denominators, and use comma to separate answers. Problem: 6x^4 - 13x^2 + 6 = 0 Thank you very much!!!

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Solve. Simplify, use radicals if needed, rationalize all denominators, and use comma to separate answers. Problem: 6x^4 - 13x^2 + 6 = 0 Thank you very much!!!      Log On


   

Question 322052: Solve. Simplify, use radicals if needed, rationalize all denominators, and use comma to separate answers.
Problem:
6x^4 - 13x^2 + 6 = 0
Thank you very much!!!
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Substitute first.
Let u=x^2, then
6x%5E4+-+13x%5E2+%2B+6+=6u%5E2+-+13u+%2B+6=0
Then factor
+6u%5E2+-+13u+%2B+6=%283u-2%29%282u-3%29=0
Two solutions in u:
3u-2=0
3u=2
u=2%2F3
x%5E2=2%2F3
+highlight%28+x=0+%2B-+sqrt%282%2F3%29%29
.
.
.
2u-3=0
2u=3
u=3%2F2
x%5E2=3%2F2
+highlight%28+x=0+%2B-+sqrt%283%2F2%29%29
.
.
.
graph%28300%2C300%2C-2%2C2%2C-2%2C2%2C+6x%5E4+-+13x%5E2+%2B+6%29