t^4+t^2-56=0

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Solution for t^4+t^2-56=0 equation: 


Simplifying
t4 + t2 + -56 = 0

Reorder the terms:
-56 + t2 + t4 = 0

Solving
-56 + t2 + t4 = 0

Solving for variable 't'.

Factor a trinomial.
(-8 + -1t2)(7 + -1t2) = 0


Subproblem 1
Set the factor '(-8 + -1t2)' equal to zero and attempt to solve:

Simplifying
-8 + -1t2 = 0

Solving
-8 + -1t2 = 0

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

Add '8' to each side of the equation.
-8 + 8 + -1t2 = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -1t2 = 0 + 8
-1t2 = 0 + 8

Combine like terms: 0 + 8 = 8
-1t2 = 8

Divide each side by '-1'.
t2 = -8

Simplifying
t2 = -8

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(7 + -1t2)' equal to zero and attempt to solve:

Simplifying
7 + -1t2 = 0

Solving
7 + -1t2 = 0

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

Add '-7' to each side of the equation.
7 + -7 + -1t2 = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1t2 = 0 + -7
-1t2 = 0 + -7

Combine like terms: 0 + -7 = -7
-1t2 = -7

Divide each side by '-1'.
t2 = 7

Simplifying
t2 = 7

Take the square root of each side:
t = {-2.645751311, 2.645751311}
Solution
t = {-2.645751311, 2.645751311}

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