w^4-1.04w^2=2.23934

Simple and best practice solution for w^4-1.04w^2=2.23934 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 w^4-1.04w^2=2.23934 equation: 


Simplifying
w4 + -1.04w2 = 2.23934

Reorder the terms:
-1.04w2 + w4 = 2.23934

Solving
-1.04w2 + w4 = 2.23934

Solving for variable 'w'.

Reorder the terms:
-2.23934 + -1.04w2 + w4 = 2.23934 + -2.23934

Combine like terms: 2.23934 + -2.23934 = 0.00000
-2.23934 + -1.04w2 + w4 = 0.00000

Begin completing the square.

Move the constant term to the right:

Add '2.23934' to each side of the equation.
-2.23934 + -1.04w2 + 2.23934 + w4 = 0.00000 + 2.23934

Reorder the terms:
-2.23934 + 2.23934 + -1.04w2 + w4 = 0.00000 + 2.23934

Combine like terms: -2.23934 + 2.23934 = 0.00000
0.00000 + -1.04w2 + w4 = 0.00000 + 2.23934
-1.04w2 + w4 = 0.00000 + 2.23934

Combine like terms: 0.00000 + 2.23934 = 2.23934
-1.04w2 + w4 = 2.23934

The w term is -1.04w2.  Take half its coefficient (-0.52).
Square it (0.2704) and add it to both sides.

Add '0.2704' to each side of the equation.
-1.04w2 + 0.2704 + w4 = 2.23934 + 0.2704

Reorder the terms:
0.2704 + -1.04w2 + w4 = 2.23934 + 0.2704

Combine like terms: 2.23934 + 0.2704 = 2.50974
0.2704 + -1.04w2 + w4 = 2.50974

Factor a perfect square on the left side:
(w2 + -0.52)(w2 + -0.52) = 2.50974

Calculate the square root of the right side: 1.584215894

Break this problem into two subproblems by setting 
(w2 + -0.52) equal to 1.584215894 and -1.584215894.


Subproblem 1
w2 + -0.52 = 1.584215894

Simplifying
w2 + -0.52 = 1.584215894

Reorder the terms:
-0.52 + w2 = 1.584215894

Solving
-0.52 + w2 = 1.584215894

Solving for variable 'w'.

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

Add '0.52' to each side of the equation.
-0.52 + 0.52 + w2 = 1.584215894 + 0.52

Combine like terms: -0.52 + 0.52 = 0.00
0.00 + w2 = 1.584215894 + 0.52
w2 = 1.584215894 + 0.52

Combine like terms: 1.584215894 + 0.52 = 2.104215894
w2 = 2.104215894

Simplifying
w2 = 2.104215894

Take the square root of each side:
w = {-1.450591567, 1.450591567}


Subproblem 2
w2 + -0.52 = -1.584215894

Simplifying
w2 + -0.52 = -1.584215894

Reorder the terms:
-0.52 + w2 = -1.584215894

Solving
-0.52 + w2 = -1.584215894

Solving for variable 'w'.

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

Add '0.52' to each side of the equation.
-0.52 + 0.52 + w2 = -1.584215894 + 0.52

Combine like terms: -0.52 + 0.52 = 0.00
0.00 + w2 = -1.584215894 + 0.52
w2 = -1.584215894 + 0.52

Combine like terms: -1.584215894 + 0.52 = -1.064215894
w2 = -1.064215894

Simplifying
w2 = -1.064215894

Reorder the terms:
1.064215894 + w2 = -1.064215894 + 1.064215894

Combine like terms: -1.064215894 + 1.064215894 = 0.000000000
1.064215894 + w2 = 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:

| (3x-4)=(5x+6) | | -9=(3/4)d | | 3(v+4)(-v+2)=0 | | 1+(-3y)=15 | | 0+(-3y)=15 | | x^2/3=6x^1/3 | | 3y+5y=65 | | (4-u)(3u-2)=0 | | -1+(-3y)=15 | | 4(x-11)=-51 | | 10+.8p=30 | | 2x-0.7x=0 | | (w-8)(w-3)=0 | | 2(4-4)=4(4)-(2(4)+4) | | 15.00-12.00x=5 | | 15=-4f | | 2/7x=1/2 | | 4x-5x=32-16 | | Y=-4+1/3x | | (5v-4)(9+v)=0 | | 1+3y=12 | | Y=-4+1/3 | | m=x1+x2/2 | | p-1=6p+3p-8 | | 3*1n/11=10 | | 3w(w-8)(w+2)=0 | | 2/3y+1/6=-3y+4 | | 3*1n^11=10 | | -1+3y=12 | | 16-7(-3.5)=-3(-3.5)+2 | | 4.6+41.7=15.9-8.3x | | -4.2858=7.943x-0.8x |

Equations solver categories