a^4-9=0

Simple and best practice solution for a^4-9=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 a^4-9=0 equation:


Simplifying
a4 + -9 = 0

Reorder the terms:
-9 + a4 = 0

Solving
-9 + a4 = 0

Solving for variable 'a'.

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

Add '9' to each side of the equation.
-9 + 9 + a4 = 0 + 9

Combine like terms: -9 + 9 = 0
0 + a4 = 0 + 9
a4 = 0 + 9

Combine like terms: 0 + 9 = 9
a4 = 9

Simplifying
a4 = 9

Reorder the terms:
-9 + a4 = 9 + -9

Combine like terms: 9 + -9 = 0
-9 + a4 = 0

Factor a difference between two squares.
(3 + a2)(-3 + a2) = 0

Subproblem 1

Set the factor '(3 + a2)' equal to zero and attempt to solve: Simplifying 3 + a2 = 0 Solving 3 + a2 = 0 Move all terms containing a to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + a2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + a2 = 0 + -3 a2 = 0 + -3 Combine like terms: 0 + -3 = -3 a2 = -3 Simplifying a2 = -3 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 '(-3 + a2)' equal to zero and attempt to solve: Simplifying -3 + a2 = 0 Solving -3 + a2 = 0 Move all terms containing a to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + a2 = 0 + 3 Combine like terms: -3 + 3 = 0 0 + a2 = 0 + 3 a2 = 0 + 3 Combine like terms: 0 + 3 = 3 a2 = 3 Simplifying a2 = 3 Take the square root of each side: a = {-1.732050808, 1.732050808}

Solution

a = {-1.732050808, 1.732050808}

See similar equations:

| -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 | | 16b^2-40b+25=0 | | x/4=23/10 | | 13-6x=11+4x | | 50+(75*h)=75+(50*h) | | 7(4x+3)=9(x+5)-7 |

Equations solver categories