SOLUTION: 6x^4-13x^2+6=0 It asks me to: (Simplify. Type an exact answer using radicals if needed. Rationalize all denominators. Usa a comma to separate answers as needed.)

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: 6x^4-13x^2+6=0 It asks me to: (Simplify. Type an exact answer using radicals if needed. Rationalize all denominators. Usa a comma to separate answers as needed.)      Log On


   

Question 374955: 6x^4-13x^2+6=0
It asks me to: (Simplify. Type an exact answer using radicals if needed. Rationalize all denominators. Usa a comma to separate answers as needed.)
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
This is really a disguised quadratic equation.
Let u=x%5E2, then u%5E2=x%5E4
6u%5E2-13u%2B6=0
%283u-2%29%282u-3%29=0
Two solutions in u:
3u-2=0
3u=2
u=2%2F3
x%5E2=2%2F3
x=0+%2B-+sqrt%282%2F3%29
highlight%28x=0+%2B-+sqrt%286%29%2F3%29
.
.
.
2u-3=0
2u=3
u=3%2F2
x%5E2=3%2F2
x=0+%2B-+sqrt%283%2F2%29
highlight%28x=0+%2B-+sqrt%286%29%2F2%29