n^4-49=0

Simple and best practice solution for n^4-49=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 n^4-49=0 equation: 


Simplifying
n4 + -49 = 0

Reorder the terms:
-49 + n4 = 0

Solving
-49 + n4 = 0

Solving for variable 'n'.

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

Add '49' to each side of the equation.
-49 + 49 + n4 = 0 + 49

Combine like terms: -49 + 49 = 0
0 + n4 = 0 + 49
n4 = 0 + 49

Combine like terms: 0 + 49 = 49
n4 = 49

Simplifying
n4 = 49

Reorder the terms:
-49 + n4 = 49 + -49

Combine like terms: 49 + -49 = 0
-49 + n4 = 0

Factor a difference between two squares.
(7 + n2)(-7 + n2) = 0


Subproblem 1
Set the factor '(7 + n2)' equal to zero and attempt to solve:

Simplifying
7 + n2 = 0

Solving
7 + n2 = 0

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

Add '-7' to each side of the equation.
7 + -7 + n2 = 0 + -7

Combine like terms: 7 + -7 = 0
0 + n2 = 0 + -7
n2 = 0 + -7

Combine like terms: 0 + -7 = -7
n2 = -7

Simplifying
n2 = -7

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 + n2)' equal to zero and attempt to solve:

Simplifying
-7 + n2 = 0

Solving
-7 + n2 = 0

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

Add '7' to each side of the equation.
-7 + 7 + n2 = 0 + 7

Combine like terms: -7 + 7 = 0
0 + n2 = 0 + 7
n2 = 0 + 7

Combine like terms: 0 + 7 = 7
n2 = 7

Simplifying
n2 = 7

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

See similar equations:

| 2x-14+2x-2=x+49 | | 8x-3=4x+13 | | v^2+6v+55= | | 4.4a=3.2 | | a^4-9=0 | | -1.25x-3.5=-13.5 | | 8x^3=15 | | 6w-2=-w-16 | | 3x^2+35x-12=0 | | -9-4x^2=3x | | 3x=-9-4x^2 | | 10x^2+17x+3=0 | | 10x-3=3x-10 | | 2y^2-6y-8= | | 6(x-4)+7=5 | | x-5.1=7.1 | | 34.95*3+(0.23*x)=25*3+(0.31*x) | | x-(-4)=-3 | | 4x+5=x+11 | | x-(9.9)=-7.9 | | x+-7.9=4.1 | | m+3-4m=-9 | | 2x+4-x=4x-8 | | x+-0.9=-4.9 | | 14+x=27 | | 84=-16t^2+76t+3 | | (6x^2y^2-3xy-7)-(5x^2y^2-2xy-3)= | | x+-0.9=7.1 | | [x-2]=7 | | 4y-5y^2= | | x^2-16x-40= | | 4x(4x)=24+4x |

Equations solver categories