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

Simple and best practice solution for t^4-5t^2-4=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^4-5t^2-4=0 equation: 


Simplifying
t4 + -5t2 + -4 = 0

Reorder the terms:
-4 + -5t2 + t4 = 0

Solving
-4 + -5t2 + t4 = 0

Solving for variable 't'.

Begin completing the square.

Move the constant term to the right:

Add '4' to each side of the equation.
-4 + -5t2 + 4 + t4 = 0 + 4

Reorder the terms:
-4 + 4 + -5t2 + t4 = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -5t2 + t4 = 0 + 4
-5t2 + t4 = 0 + 4

Combine like terms: 0 + 4 = 4
-5t2 + t4 = 4

The t term is -5t2.  Take half its coefficient (-2.5).
Square it (6.25) and add it to both sides.

Add '6.25' to each side of the equation.
-5t2 + 6.25 + t4 = 4 + 6.25

Reorder the terms:
6.25 + -5t2 + t4 = 4 + 6.25

Combine like terms: 4 + 6.25 = 10.25
6.25 + -5t2 + t4 = 10.25

Factor a perfect square on the left side:
(t2 + -2.5)(t2 + -2.5) = 10.25

Calculate the square root of the right side: 3.201562119

Break this problem into two subproblems by setting 
(t2 + -2.5) equal to 3.201562119 and -3.201562119.


Subproblem 1
t2 + -2.5 = 3.201562119

Simplifying
t2 + -2.5 = 3.201562119

Reorder the terms:
-2.5 + t2 = 3.201562119

Solving
-2.5 + t2 = 3.201562119

Solving for variable 't'.

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

Add '2.5' to each side of the equation.
-2.5 + 2.5 + t2 = 3.201562119 + 2.5

Combine like terms: -2.5 + 2.5 = 0.0
0.0 + t2 = 3.201562119 + 2.5
t2 = 3.201562119 + 2.5

Combine like terms: 3.201562119 + 2.5 = 5.701562119
t2 = 5.701562119

Simplifying
t2 = 5.701562119

Take the square root of each side:
t = {-2.387794405, 2.387794405}


Subproblem 2
t2 + -2.5 = -3.201562119

Simplifying
t2 + -2.5 = -3.201562119

Reorder the terms:
-2.5 + t2 = -3.201562119

Solving
-2.5 + t2 = -3.201562119

Solving for variable 't'.

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

Add '2.5' to each side of the equation.
-2.5 + 2.5 + t2 = -3.201562119 + 2.5

Combine like terms: -2.5 + 2.5 = 0.0
0.0 + t2 = -3.201562119 + 2.5
t2 = -3.201562119 + 2.5

Combine like terms: -3.201562119 + 2.5 = -0.701562119
t2 = -0.701562119

Simplifying
t2 = -0.701562119

Reorder the terms:
0.701562119 + t2 = -0.701562119 + 0.701562119

Combine like terms: -0.701562119 + 0.701562119 = 0.000000000
0.701562119 + 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:

| 4x^2-4x^3+x^4=0 | | 6a+3(2a-1)=2(a-1) | | t^4-t^2-4=0 | | t^4+t^2-4=0 | | N-150=268 | | 172.42=6s+18.94 | | 8a+5a+3b+4b= | | 5r-55r+150=0 | | z/5-4=7/6 | | 49x^2+49= | | 10f-7=-67 | | 6(-3x-12)=-7(-7x-5) | | (x+3)(2x+3)=0 | | 15(7x+12)=-4(-8x-13) | | 16-8x^2-2x=0 | | Ln(x/2) | | 9x^5-1/3x^9 | | 518.16=210+1.07x | | 4*10000000= | | 2ln(x+5)-1=7 | | -30=h-23 | | y-4=y-4 | | gr+5=yf+fr | | y/3-3=1 | | 9-2=3n-2n | | 8x-61=17 | | 4x^2-4x^3+4x^4=0 | | 6x^2-35x+77=0 | | 2z/7-5=-4 | | 59=8x+3 | | 9x+95=200 | | y+15=3(x+37) |

Equations solver categories