t^4-38.94t^2-0.00392=0

Simple and best practice solution for t^4-38.94t^2-0.00392=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^4-38.94t^2-0.00392=0 equation: 


Simplifying
t4 + -38.94t2 + -0.00392 = 0

Reorder the terms:
-0.00392 + -38.94t2 + t4 = 0

Solving
-0.00392 + -38.94t2 + t4 = 0

Solving for variable 't'.

Begin completing the square.

Move the constant term to the right:

Add '0.00392' to each side of the equation.
-0.00392 + -38.94t2 + 0.00392 + t4 = 0 + 0.00392

Reorder the terms:
-0.00392 + 0.00392 + -38.94t2 + t4 = 0 + 0.00392

Combine like terms: -0.00392 + 0.00392 = 0.00000
0.00000 + -38.94t2 + t4 = 0 + 0.00392
-38.94t2 + t4 = 0 + 0.00392

Combine like terms: 0 + 0.00392 = 0.00392
-38.94t2 + t4 = 0.00392

The t term is -38.94t2.  Take half its coefficient (-19.47).
Square it (379.0809) and add it to both sides.

Add '379.0809' to each side of the equation.
-38.94t2 + 379.0809 + t4 = 0.00392 + 379.0809

Reorder the terms:
379.0809 + -38.94t2 + t4 = 0.00392 + 379.0809

Combine like terms: 0.00392 + 379.0809 = 379.08482
379.0809 + -38.94t2 + t4 = 379.08482

Factor a perfect square on the left side:
(t2 + -19.47)(t2 + -19.47) = 379.08482

Calculate the square root of the right side: 19.470100667

Break this problem into two subproblems by setting 
(t2 + -19.47) equal to 19.470100667 and -19.470100667.


Subproblem 1
t2 + -19.47 = 19.470100667

Simplifying
t2 + -19.47 = 19.470100667

Reorder the terms:
-19.47 + t2 = 19.470100667

Solving
-19.47 + t2 = 19.470100667

Solving for variable 't'.

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

Add '19.47' to each side of the equation.
-19.47 + 19.47 + t2 = 19.470100667 + 19.47

Combine like terms: -19.47 + 19.47 = 0.00
0.00 + t2 = 19.470100667 + 19.47
t2 = 19.470100667 + 19.47

Combine like terms: 19.470100667 + 19.47 = 38.940100667
t2 = 38.940100667

Simplifying
t2 = 38.940100667

Take the square root of each side:
t = {-6.240200371, 6.240200371}


Subproblem 2
t2 + -19.47 = -19.470100667

Simplifying
t2 + -19.47 = -19.470100667

Reorder the terms:
-19.47 + t2 = -19.470100667

Solving
-19.47 + t2 = -19.470100667

Solving for variable 't'.

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

Add '19.47' to each side of the equation.
-19.47 + 19.47 + t2 = -19.470100667 + 19.47

Combine like terms: -19.47 + 19.47 = 0.00
0.00 + t2 = -19.470100667 + 19.47
t2 = -19.470100667 + 19.47

Combine like terms: -19.470100667 + 19.47 = -0.000100667
t2 = -0.000100667

Simplifying
t2 = -0.000100667

Reorder the terms:
0.000100667 + t2 = -0.000100667 + 0.000100667

Combine like terms: -0.000100667 + 0.000100667 = 0.000000000
0.000100667 + 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:

| 6(3x-2)-(12x-1)+4=0 | | 2(3-x)=8 | | 3x+17=5x+1 | | 4x+2=x+50 | | 5x+1=2x+154 | | a^2+27=0 | | y=-2(x+6)+5 | | -15+(-23)=0 | | 2x^3-5x^2-18x-45=0 | | -16+22=m-8 | | 20x^2-3=7x | | a(6b+7)=-8b+112 | | -16+6=-14+4 | | 13-12s+14s-4=1 | | 8(x+9)-52= | | 10x+8=7x-20 | | 12p-48a=0 | | 3x-9x+4x-2x= | | -6x+(-6)+14x+18= | | 4(4c-1)-3=14c+7 | | 6.3+0.8=-0.1 | | -2y-11=4y+7 | | 8x+20=22 | | 6x+13=3x-8 | | 4(x-5)=2(7x+2) | | 5x+14-4x=-6-13 | | 1-2i^3= | | T-9=10 | | 30=6(1-7a)-8(-5a-1) | | 90x=2x-10 | | 18x^3+45x^2-27x=0 | | 4=4(3+2y) |

Equations solver categories