t^4+2t^2-80=0

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Solution for t^4+2t^2-80=0 equation: 


Simplifying
t4 + 2t2 + -80 = 0

Reorder the terms:
-80 + 2t2 + t4 = 0

Solving
-80 + 2t2 + t4 = 0

Solving for variable 't'.

Factor a trinomial.
(-10 + -1t2)(8 + -1t2) = 0


Subproblem 1
Set the factor '(-10 + -1t2)' equal to zero and attempt to solve:

Simplifying
-10 + -1t2 = 0

Solving
-10 + -1t2 = 0

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

Add '10' to each side of the equation.
-10 + 10 + -1t2 = 0 + 10

Combine like terms: -10 + 10 = 0
0 + -1t2 = 0 + 10
-1t2 = 0 + 10

Combine like terms: 0 + 10 = 10
-1t2 = 10

Divide each side by '-1'.
t2 = -10

Simplifying
t2 = -10

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 '(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

Take the square root of each side:
t = {-2.828427125, 2.828427125}
Solution
t = {-2.828427125, 2.828427125}

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