x^4+x^2-56=0

Simple and best practice solution for x^4+x^2-56=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+x^2-56=0 equation: 


Simplifying
x4 + x2 + -56 = 0

Reorder the terms:
-56 + x2 + x4 = 0

Solving
-56 + x2 + x4 = 0

Solving for variable 'x'.

Factor a trinomial.
(-8 + -1x2)(7 + -1x2) = 0


Subproblem 1
Set the factor '(-8 + -1x2)' equal to zero and attempt to solve:

Simplifying
-8 + -1x2 = 0

Solving
-8 + -1x2 = 0

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

Add '8' to each side of the equation.
-8 + 8 + -1x2 = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -1x2 = 0 + 8
-1x2 = 0 + 8

Combine like terms: 0 + 8 = 8
-1x2 = 8

Divide each side by '-1'.
x2 = -8

Simplifying
x2 = -8

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(7 + -1x2)' equal to zero and attempt to solve:

Simplifying
7 + -1x2 = 0

Solving
7 + -1x2 = 0

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

Add '-7' to each side of the equation.
7 + -7 + -1x2 = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1x2 = 0 + -7
-1x2 = 0 + -7

Combine like terms: 0 + -7 = -7
-1x2 = -7

Divide each side by '-1'.
x2 = 7

Simplifying
x2 = 7

Take the square root of each side:
x = {-2.645751311, 2.645751311}
Solution
x = {-2.645751311, 2.645751311}

See similar equations:

| 3x^2+6x=2x^2+16 | | 1(x+2)=2(x+1) | | 3/5-1/3 | | x/2=4+x-35/5 | | x+6/10=2/5+x-2/3 | | 5x-3=9x-91 | | (x+2)*(3+2x)=1 | | 2x-30= | | 5x-3=13x-21 | | 3x/2-x=x/6-4/3 | | y=3(.5)-2 | | 2x+2=12x-98 | | s/3=-6 | | 3x(x+2)=(2x+8)(X+2) | | 10-x/2=x/3 | | y=3(-1)-1 | | y=3(3)-2 | | y=3x(2)-2 | | 47x=13 | | y=3x(-1)-2 | | (4a*b^4)-(4a*b^4+2a^3*b^3)= | | 90(x/9)=90(x/10)13 | | 2x+(-5-x)=20 | | 240=10(x-60)+40 | | 8(x-30)+8=5x-22 | | 36=10y | | 2x-3y+9=0 | | (2x+1)+(2x+5)=90 | | -6-11=49 | | 3(2x-3)=24 | | 65/1950 | | 30-6x=3x+15 |

Equations solver categories