z^4-64=0

Simple and best practice solution for z^4-64=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 z^4-64=0 equation:


Simplifying
z4 + -64 = 0

Reorder the terms:
-64 + z4 = 0

Solving
-64 + z4 = 0

Solving for variable 'z'.

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

Add '64' to each side of the equation.
-64 + 64 + z4 = 0 + 64

Combine like terms: -64 + 64 = 0
0 + z4 = 0 + 64
z4 = 0 + 64

Combine like terms: 0 + 64 = 64
z4 = 64

Simplifying
z4 = 64

Reorder the terms:
-64 + z4 = 64 + -64

Combine like terms: 64 + -64 = 0
-64 + z4 = 0

Factor a difference between two squares.
(8 + z2)(-8 + z2) = 0

Subproblem 1

Set the factor '(8 + z2)' equal to zero and attempt to solve: Simplifying 8 + z2 = 0 Solving 8 + z2 = 0 Move all terms containing z to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + z2 = 0 + -8 Combine like terms: 8 + -8 = 0 0 + z2 = 0 + -8 z2 = 0 + -8 Combine like terms: 0 + -8 = -8 z2 = -8 Simplifying z2 = -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 '(-8 + z2)' equal to zero and attempt to solve: Simplifying -8 + z2 = 0 Solving -8 + z2 = 0 Move all terms containing z to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + z2 = 0 + 8 Combine like terms: -8 + 8 = 0 0 + z2 = 0 + 8 z2 = 0 + 8 Combine like terms: 0 + 8 = 8 z2 = 8 Simplifying z2 = 8 Take the square root of each side: z = {-2.828427125, 2.828427125}

Solution

z = {-2.828427125, 2.828427125}

See similar equations:

| x^4-x^2+1=0 | | x*x-25= | | x*x*x-25= | | A+17=31 | | 18-t=3t | | 7+4y-5+2y= | | (9x-4)(5+7)= | | -(-3-7k)= | | (9x-4)(5x+7)= | | -9+x=-42 | | 7x+2=-33 | | 5(-6+3)= | | X=-48+x | | (-8+3x)6= | | X=x-48 | | 2(-5r+5)= | | 8-7y+12-10+10y= | | 6(8x+3)= | | 4x^3+3x^2+2=0 | | 5x-7x+10x-4= | | t^2=605 | | t^2=65 | | t^2=20 | | w^2-15=0 | | 6b+2(b+3)= | | y=6x(2)+3x+5 | | t^2=19 | | 10x--17x+5= | | 3x^2-12x-85=0 | | 2n+110+115=3n+50 | | (9x-7x+2)= | | 10x=y-4 |

Equations solver categories