a^4-2a^2b+b^2=0

Simple and best practice solution for a^4-2a^2b+b^2=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^4-2a^2b+b^2=0 equation:


Simplifying
a4 + -2a2b + b2 = 0

Reorder the terms:
-2a2b + a4 + b2 = 0

Solving
-2a2b + a4 + b2 = 0

Solving for variable 'a'.

Factor a trinomial.
(a2 + -1b)(a2 + -1b) = 0

Subproblem 1

Set the factor '(a2 + -1b)' equal to zero and attempt to solve: Simplifying a2 + -1b = 0 Solving a2 + -1b = 0 Move all terms containing a to the left, all other terms to the right. Add 'b' to each side of the equation. a2 + -1b + b = 0 + b Combine like terms: -1b + b = 0 a2 + 0 = 0 + b a2 = 0 + b Remove the zero: a2 = b Simplifying a2 = b 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 '(a2 + -1b)' equal to zero and attempt to solve: Simplifying a2 + -1b = 0 Solving a2 + -1b = 0 Move all terms containing a to the left, all other terms to the right. Add 'b' to each side of the equation. a2 + -1b + b = 0 + b Combine like terms: -1b + b = 0 a2 + 0 = 0 + b a2 = 0 + b Remove the zero: a2 = b Simplifying a2 = b The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

See similar equations:

| 2+2a-6=6 | | 10x+5=3(3x+1) | | 4c+16=3c-12 | | f(4)=8x+11 | | 8x-(3+4x)= | | 2x+111=8x-9 | | -112=7(8p-8) | | 3b-12=2b+2 | | -1.7(2z+1)-4.9z= | | 2(x+1)+3(x+2)=5x+4 | | 7x-3x+6=x-5+11 | | 2a+6=a-2 | | -3.4(-5m+7)+3.7m= | | 24=3a-6a | | -(x-3)-2-(x-4)=7 | | 0.6t=0.9+0.8t | | 2a+0.5=4.5 | | 4x+13=11x-8 | | 4x-7x+5=x-3+8 | | 9x-(3x+7)=2x-39 | | -3n^2-5=-32 | | 12x+10-16=18x | | 2x^2+(k+1)x+8=0 | | 3x+6=-3(2x+2) | | 0.9(-4g+3)-4.8g= | | 5-2x^2=-37 | | -4x^2-6x-1=0 | | -1.9(-4m+2)-1.6m= | | -4.6-3x=0.2 | | x=-1.5(-4) | | 6+5x=45 | | x^2+29x+200=0 |

Equations solver categories