T^4+t^2-2=0

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


Simplifying
T4 + t2 + -2 = 0

Reorder the terms:
-2 + T4 + t2 = 0

Solving
-2 + T4 + t2 = 0

Solving for variable 'T'.

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

Add '2' to each side of the equation.
-2 + T4 + 2 + t2 = 0 + 2

Reorder the terms:
-2 + 2 + T4 + t2 = 0 + 2

Combine like terms: -2 + 2 = 0
0 + T4 + t2 = 0 + 2
T4 + t2 = 0 + 2

Combine like terms: 0 + 2 = 2
T4 + t2 = 2

Add '-1t2' to each side of the equation.
T4 + t2 + -1t2 = 2 + -1t2

Combine like terms: t2 + -1t2 = 0
T4 + 0 = 2 + -1t2
T4 = 2 + -1t2

Simplifying
T4 = 2 + -1t2

Reorder the terms:
-2 + T4 + t2 = 2 + -1t2 + -2 + t2

Reorder the terms:
-2 + T4 + t2 = 2 + -2 + -1t2 + t2

Combine like terms: 2 + -2 = 0
-2 + T4 + t2 = 0 + -1t2 + t2
-2 + T4 + t2 = -1t2 + t2

Combine like terms: -1t2 + t2 = 0
-2 + T4 + t2 = 0

Factor a trinomial.
(T2 + -1t)(T2 + -1t) = 0

Subproblem 1

Set the factor '(T2 + -1t)' equal to zero and attempt to solve: Simplifying T2 + -1t = 0 Solving T2 + -1t = 0 Move all terms containing T to the left, all other terms to the right. Add 't' to each side of the equation. T2 + -1t + t = 0 + t Combine like terms: -1t + t = 0 T2 + 0 = 0 + t T2 = 0 + t Remove the zero: T2 = t Simplifying T2 = t 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 '(T2 + -1t)' equal to zero and attempt to solve: Simplifying T2 + -1t = 0 Solving T2 + -1t = 0 Move all terms containing T to the left, all other terms to the right. Add 't' to each side of the equation. T2 + -1t + t = 0 + t Combine like terms: -1t + t = 0 T2 + 0 = 0 + t T2 = 0 + t Remove the zero: T2 = t Simplifying T2 = t The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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