a^4-25=0

Simple and best practice solution for a^4-25=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^4-25=0 equation:


Simplifying
a4 + -25 = 0

Reorder the terms:
-25 + a4 = 0

Solving
-25 + a4 = 0

Solving for variable 'a'.

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

Add '25' to each side of the equation.
-25 + 25 + a4 = 0 + 25

Combine like terms: -25 + 25 = 0
0 + a4 = 0 + 25
a4 = 0 + 25

Combine like terms: 0 + 25 = 25
a4 = 25

Simplifying
a4 = 25

Reorder the terms:
-25 + a4 = 25 + -25

Combine like terms: 25 + -25 = 0
-25 + a4 = 0

Factor a difference between two squares.
(5 + a2)(-5 + a2) = 0

Subproblem 1

Set the factor '(5 + a2)' equal to zero and attempt to solve: Simplifying 5 + a2 = 0 Solving 5 + a2 = 0 Move all terms containing a to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + a2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + a2 = 0 + -5 a2 = 0 + -5 Combine like terms: 0 + -5 = -5 a2 = -5 Simplifying a2 = -5 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 '(-5 + a2)' equal to zero and attempt to solve: Simplifying -5 + a2 = 0 Solving -5 + a2 = 0 Move all terms containing a to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + a2 = 0 + 5 Combine like terms: -5 + 5 = 0 0 + a2 = 0 + 5 a2 = 0 + 5 Combine like terms: 0 + 5 = 5 a2 = 5 Simplifying a2 = 5 Take the square root of each side: a = {-2.236067978, 2.236067978}

Solution

a = {-2.236067978, 2.236067978}

See similar equations:

| 2(x-6)=8-x | | c/5-3=18 | | x^2+2xy+y^2-8x+y=0 | | 9*0-8=-72 | | 6t+3=2t+15 | | 7x^2-14xy-38x+24y+175=0 | | 3x+72=48 | | 8h-11=89 | | m=-3,3/0,-4 | | x+30/6=9 | | 7(s+2)=2(s+2) | | 7-3y=13 | | 4z-5+7=45 | | 5cosx+7sinx=3 | | 17=245*4.184(x-32) | | Y=(x^3)-(3(x^2))-5x | | Y=3ln(x) | | 8x-7y=-49 | | b^4-6b+5=0 | | 8x^2+8x+4=0 | | (2x+1)+(x+36)=180 | | b^4-9b+8=0 | | x+3.5=6.4 | | 2(3p-4)=4p+6 | | b^4-10b+9=0 | | 5(y-4)-2(y+2)=12 | | 6+0.75x=15 | | c/9+(-308)=-204 | | 6-(4c+7)=19+8x | | 2(2y+1)+3(y+4)=35 | | 2x^2+72x+36= | | 3a+7b+9a-3b= |

Equations solver categories