2t^4-11t^2+5=0

Solution for 2t^4-11t^2+5=0 equation:

Simplifying
2t4 + -11t2 + 5 = 0

Reorder the terms:
5 + -11t2 + 2t4 = 0

Solving
5 + -11t2 + 2t4 = 0

Solving for variable 't'.

Factor a trinomial.
(1 + -2t2)(5 + -1t2) = 0

Subproblem 1
Set the factor '(1 + -2t2)' equal to zero and attempt to solve:

Simplifying
1 + -2t2 = 0

Solving
1 + -2t2 = 0

Move all terms containing t to the left, all other terms to the right.

Add '-1' to each side of the equation.
1 + -1 + -2t2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -2t2 = 0 + -1
-2t2 = 0 + -1

Combine like terms: 0 + -1 = -1
-2t2 = -1

Divide each side by '-2'.
t2 = 0.5

Simplifying
t2 = 0.5

Take the square root of each side:
t = {-0.707106781, 0.707106781}
Subproblem 2
Set the factor '(5 + -1t2)' equal to zero and attempt to solve:

Simplifying
5 + -1t2 = 0

Solving
5 + -1t2 = 0

Move all terms containing t to the left, all other terms to the right.

Add '-5' to each side of the equation.
5 + -5 + -1t2 = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1t2 = 0 + -5
-1t2 = 0 + -5

Combine like terms: 0 + -5 = -5
-1t2 = -5

Divide each side by '-1'.
t2 = 5

Simplifying
t2 = 5

Take the square root of each side:
t = {-2.236067978, 2.236067978}
Solution
t = {-0.707106781, 0.707106781, -2.236067978, 2.236067978}