X^4-3.0548X^2-5501.47=0

Simple and best practice solution for X^4-3.0548X^2-5501.47=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 X^4-3.0548X^2-5501.47=0 equation: 


Simplifying
X4 + -3.0548X2 + -5501.47 = 0

Reorder the terms:
-5501.47 + -3.0548X2 + X4 = 0

Solving
-5501.47 + -3.0548X2 + X4 = 0

Solving for variable 'X'.

Begin completing the square.

Move the constant term to the right:

Add '5501.47' to each side of the equation.
-5501.47 + -3.0548X2 + 5501.47 + X4 = 0 + 5501.47

Reorder the terms:
-5501.47 + 5501.47 + -3.0548X2 + X4 = 0 + 5501.47

Combine like terms: -5501.47 + 5501.47 = 0.00
0.00 + -3.0548X2 + X4 = 0 + 5501.47
-3.0548X2 + X4 = 0 + 5501.47

Combine like terms: 0 + 5501.47 = 5501.47
-3.0548X2 + X4 = 5501.47

The X term is -3.0548X2.  Take half its coefficient (-1.5274).
Square it (2.33295076) and add it to both sides.

Add '2.33295076' to each side of the equation.
-3.0548X2 + 2.33295076 + X4 = 5501.47 + 2.33295076

Reorder the terms:
2.33295076 + -3.0548X2 + X4 = 5501.47 + 2.33295076

Combine like terms: 5501.47 + 2.33295076 = 5503.80295076
2.33295076 + -3.0548X2 + X4 = 5503.80295076

Factor a perfect square on the left side:
(X2 + -1.5274)(X2 + -1.5274) = 5503.80295076

Calculate the square root of the right side: 74.187619929

Break this problem into two subproblems by setting 
(X2 + -1.5274) equal to 74.187619929 and -74.187619929.


Subproblem 1
X2 + -1.5274 = 74.187619929

Simplifying
X2 + -1.5274 = 74.187619929

Reorder the terms:
-1.5274 + X2 = 74.187619929

Solving
-1.5274 + X2 = 74.187619929

Solving for variable 'X'.

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

Add '1.5274' to each side of the equation.
-1.5274 + 1.5274 + X2 = 74.187619929 + 1.5274

Combine like terms: -1.5274 + 1.5274 = 0.0000
0.0000 + X2 = 74.187619929 + 1.5274
X2 = 74.187619929 + 1.5274

Combine like terms: 74.187619929 + 1.5274 = 75.715019929
X2 = 75.715019929

Simplifying
X2 = 75.715019929

Take the square root of each side:
X = {-8.701437808, 8.701437808}


Subproblem 2
X2 + -1.5274 = -74.187619929

Simplifying
X2 + -1.5274 = -74.187619929

Reorder the terms:
-1.5274 + X2 = -74.187619929

Solving
-1.5274 + X2 = -74.187619929

Solving for variable 'X'.

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

Add '1.5274' to each side of the equation.
-1.5274 + 1.5274 + X2 = -74.187619929 + 1.5274

Combine like terms: -1.5274 + 1.5274 = 0.0000
0.0000 + X2 = -74.187619929 + 1.5274
X2 = -74.187619929 + 1.5274

Combine like terms: -74.187619929 + 1.5274 = -72.660219929
X2 = -72.660219929

Simplifying
X2 = -72.660219929

Reorder the terms:
72.660219929 + X2 = -72.660219929 + 72.660219929

Combine like terms: -72.660219929 + 72.660219929 = 0.000000000
72.660219929 + X2 = 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:

| 12+5x=-23 | | 4(2-x)=8 | | -2=-3x-.625 | | -2-6x+5x^2-2x+6= | | 1.5(2-3x)=-24 | | -2y-7+5y=0 | | 90x(x)+60x-80=0 | | 4x+(-8-2)=30 | | (6c)(3r)= | | 15-2(3+2X)=4+3(2X-5) | | -1(-4+6)=-x | | 5(2y)-2y=24 | | 1.583=3.5+6.5x | | 7x-20=3x | | 9(3+Y)-16=8(Y+4)+5 | | -8(2-x)=24 | | 2(x-2)+3(2x+2)=-5(2-x) | | 4y-4x+6=8 | | 6x+x+2x=99 | | 4x-11(12x+9)= | | -2(x+3)=4(3-1) | | -6x-72=36 | | 120t=2t^2 | | 9x-10y=2 | | 9(2x-8)=8x+8 | | x-19x^2=0 | | (-7c)(-7c)= | | 2(X-C)+3X=2(X+2)-X | | 2(5x)=-15(2) | | -5(4y)= | | 6-(4y-2)=2-5y | | -7(x+7)+7(2x+1)= |

Equations solver categories