z^4-121=0

Simple and best practice solution for z^4-121=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^4-121=0 equation:


Simplifying
z4 + -121 = 0

Reorder the terms:
-121 + z4 = 0

Solving
-121 + z4 = 0

Solving for variable 'z'.

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

Add '121' to each side of the equation.
-121 + 121 + z4 = 0 + 121

Combine like terms: -121 + 121 = 0
0 + z4 = 0 + 121
z4 = 0 + 121

Combine like terms: 0 + 121 = 121
z4 = 121

Simplifying
z4 = 121

Reorder the terms:
-121 + z4 = 121 + -121

Combine like terms: 121 + -121 = 0
-121 + z4 = 0

Factor a difference between two squares.
(11 + z2)(-11 + z2) = 0

Subproblem 1

Set the factor '(11 + z2)' equal to zero and attempt to solve: Simplifying 11 + z2 = 0 Solving 11 + z2 = 0 Move all terms containing z to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + z2 = 0 + -11 Combine like terms: 11 + -11 = 0 0 + z2 = 0 + -11 z2 = 0 + -11 Combine like terms: 0 + -11 = -11 z2 = -11 Simplifying z2 = -11 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 '(-11 + z2)' equal to zero and attempt to solve: Simplifying -11 + z2 = 0 Solving -11 + z2 = 0 Move all terms containing z to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + z2 = 0 + 11 Combine like terms: -11 + 11 = 0 0 + z2 = 0 + 11 z2 = 0 + 11 Combine like terms: 0 + 11 = 11 z2 = 11 Simplifying z2 = 11 Take the square root of each side: z = {-3.31662479, 3.31662479}

Solution

z = {-3.31662479, 3.31662479}

See similar equations:

| (3x-6)(x+0.33)= | | 2X(X+7)(X+4)= | | 132+54x=6x^2 | | 5x-8-3x=(2x-3) | | m^2-7m-5=0 | | (2x-0.1)(x+2.4)= | | h(t)=-16t^2+480 | | 1/2-1/3=3/4 | | 2x^2-x-28= | | 54a^3b-2b= | | 4xy=32 | | n^2-18n-83=5 | | 6x+6=7x+3 | | 4+x=32 | | -44=8p-2(2p+10) | | x^2(x+3)-4(x+3)= | | n^2+12n+10=-10 | | -5(t-6)-(t+4)=4 | | 3x^2=50+x^2 | | -1t^2+2t+3=0 | | 51x-105=6x^2 | | 24x^2-3x-18= | | 6-c=4+5c | | (x-2)(x-8)=7 | | 5n^2+20n+10=-5 | | 125x^3+27= | | 4n^2-2n-90= | | x+2+2x+1+x+1+3x-1= | | .07x=1720 | | 42=2(5y+y) | | 42=2(3y+y) | | 6x^6=24 |

Equations solver categories