t^4-2t^2-1=0

Simple and best practice solution for t^4-2t^2-1=0 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for t^4-2t^2-1=0 equation: 


Simplifying
t4 + -2t2 + -1 = 0

Reorder the terms:
-1 + -2t2 + t4 = 0

Solving
-1 + -2t2 + t4 = 0

Solving for variable 't'.

Begin completing the square.

Move the constant term to the right:

Add '1' to each side of the equation.
-1 + -2t2 + 1 + t4 = 0 + 1

Reorder the terms:
-1 + 1 + -2t2 + t4 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -2t2 + t4 = 0 + 1
-2t2 + t4 = 0 + 1

Combine like terms: 0 + 1 = 1
-2t2 + t4 = 1

The t term is -2t2.  Take half its coefficient (-1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
-2t2 + 1 + t4 = 1 + 1

Reorder the terms:
1 + -2t2 + t4 = 1 + 1

Combine like terms: 1 + 1 = 2
1 + -2t2 + t4 = 2

Factor a perfect square on the left side:
(t2 + -1)(t2 + -1) = 2

Calculate the square root of the right side: 1.414213562

Break this problem into two subproblems by setting 
(t2 + -1) equal to 1.414213562 and -1.414213562.


Subproblem 1
t2 + -1 = 1.414213562

Simplifying
t2 + -1 = 1.414213562

Reorder the terms:
-1 + t2 = 1.414213562

Solving
-1 + t2 = 1.414213562

Solving for variable 't'.

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

Add '1' to each side of the equation.
-1 + 1 + t2 = 1.414213562 + 1

Combine like terms: -1 + 1 = 0
0 + t2 = 1.414213562 + 1
t2 = 1.414213562 + 1

Combine like terms: 1.414213562 + 1 = 2.414213562
t2 = 2.414213562

Simplifying
t2 = 2.414213562

Take the square root of each side:
t = {-1.553773974, 1.553773974}


Subproblem 2
t2 + -1 = -1.414213562

Simplifying
t2 + -1 = -1.414213562

Reorder the terms:
-1 + t2 = -1.414213562

Solving
-1 + t2 = -1.414213562

Solving for variable 't'.

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

Add '1' to each side of the equation.
-1 + 1 + t2 = -1.414213562 + 1

Combine like terms: -1 + 1 = 0
0 + t2 = -1.414213562 + 1
t2 = -1.414213562 + 1

Combine like terms: -1.414213562 + 1 = -0.414213562
t2 = -0.414213562

Simplifying
t2 = -0.414213562

Reorder the terms:
0.414213562 + t2 = -0.414213562 + 0.414213562

Combine like terms: -0.414213562 + 0.414213562 = 0.000000000
0.414213562 + t2 = 0.000000000

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.

See similar equations:

| 3y=2(x+1) | | 6y+4-2y=22 | | -5+2(y+1)=7 | | 5(4+2b)-3(1-4b)=-27 | | 5x-(2x+3)=5x-27 | | 6u-2u=-15 | | -[10x-(3x+2)]=-3-[4(3x-3)-3x] | | -2(3-5x)=4 | | 5x(2x+1)= | | -5(3p+2)-38=3(5p+4) | | 5+1.50=15.50 | | t^4+2t^2+1=0 | | 4.1x-2.6x-8=0.5 | | 3y+-5x=12 | | 2(x)+3(y)=120 | | 4x+-8=-6x+-2 | | 149=7y | | 2x*2+64+8x*2=8x*4 | | 10-8q=2(5-4q) | | 4a+7=5(a+5) | | -(1-3x)=11 | | 3(2+2x)=5(x-5) | | 2(3w-7)=w+11 | | 6(c-2)+9=3+c-6 | | 1.4-0.4x=5.2 | | 2*(7x+2)+12*(x+1)=12 | | 10-x=-13 | | X^2-x+17=0 | | X/2-(x-1/3)=1/9 | | -[10z-(14z+9)]=9+(3z+3) | | 6x-3=91 | | 40-3(2w+1)=11w-3(11+w) |

Equations solver categories