a^4+2a^2+1=0

Simple and best practice solution for a^4+2a^2+1=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^2+1=0 equation:


Simplifying
a4 + 2a2 + 1 = 0

Reorder the terms:
1 + 2a2 + a4 = 0

Solving
1 + 2a2 + a4 = 0

Solving for variable 'a'.

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

Subproblem 1

Set the factor '(1 + a2)' equal to zero and attempt to solve: Simplifying 1 + a2 = 0 Solving 1 + a2 = 0 Move all terms containing a to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + a2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + a2 = 0 + -1 a2 = 0 + -1 Combine like terms: 0 + -1 = -1 a2 = -1 Simplifying a2 = -1 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 '(1 + a2)' equal to zero and attempt to solve: Simplifying 1 + a2 = 0 Solving 1 + a2 = 0 Move all terms containing a to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + a2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + a2 = 0 + -1 a2 = 0 + -1 Combine like terms: 0 + -1 = -1 a2 = -1 Simplifying a2 = -1 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:

| 2s+5=9 | | (8*16)10-32=G | | 5v^2=-17v-6 | | (3w-2)(3+w)=0 | | 59+q=2-2q | | 9+3x=38 | | -12x-32=-16x-52 | | 5x+20=9x-28 | | -18x=-12x+12 | | 5x+30=10x | | 6X^2+45x+7=0 | | 64x^2-169=0 | | 4.5x+6.5(100-x)=500 | | 4x+2+2x=20 | | 8-2x=7x-4 | | 9m+10-14=-5 | | 2(4x+1)=3(2x+4) | | -2x+4=-44+6x | | 20=2(2x+6) | | 8x-3(x-4)=4(x+3)+28 | | -a^2+6a-5=0 | | -a^2+6a+5=0 | | 8-2z=-4 | | 6+7x=-x+86 | | 2(4x+1)=74 | | 3*4+12*5/12=20 | | 9t+4=6t-2 | | 2x+34y*x=12xy | | X+9=1+3x | | (x+4)(x+6)=160 | | 3x^3+x= | | 4x-2=7x+34 |

Equations solver categories