y^4+4y^2+5=0

Simple and best practice solution for y^4+4y^2+5=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 y^4+4y^2+5=0 equation:


Simplifying
y4 + 4y2 + 5 = 0

Reorder the terms:
5 + 4y2 + y4 = 0

Solving
5 + 4y2 + y4 = 0

Solving for variable 'y'.

Begin completing the square.

Move the constant term to the right:

Add '-5' to each side of the equation.
5 + 4y2 + -5 + y4 = 0 + -5

Reorder the terms:
5 + -5 + 4y2 + y4 = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 4y2 + y4 = 0 + -5
4y2 + y4 = 0 + -5

Combine like terms: 0 + -5 = -5
4y2 + y4 = -5

The y term is 4y2.  Take half its coefficient (2).
Square it (4) and add it to both sides.

Add '4' to each side of the equation.
4y2 + 4 + y4 = -5 + 4

Reorder the terms:
4 + 4y2 + y4 = -5 + 4

Combine like terms: -5 + 4 = -1
4 + 4y2 + y4 = -1

Factor a perfect square on the left side:
(y2 + 2)(y2 + 2) = -1

Can't calculate square root of the right side.

The solution to this equation could not be determined.

See similar equations:

| 5-5x+6x=39 | | 7s+7=19+3 | | 2x^2*x^2+1=2x^2+1 | | 32x-25y=1 | | 3x+7+6x=97 | | 3x^2+54x-104=0 | | 5(s-2)=4(2s+5) | | Cos25=8/x | | C=12m-5 | | 130+134= | | m^3+9m= | | 17-2n=3 | | 152+7m=236 | | 2x^2-646=0 | | 5j+7=30 | | 0.2p+1.2=-1.4p | | 19n-76=285 | | (y+3)-(y-3)= | | 600x^2-800x-32400=0 | | 2c+3x=23 | | 5r-6p=12 | | 4m+6=15m | | 2y^2+4x+2=0 | | 1/2(y-1)=4y | | 3x-5(x-3)=-4+5x-9 | | 6a-2b=9 | | (2h)+(2h)=180 | | (2h)+(2h)= | | 2x-1=5x-15 | | (2h)+(2h)=40 | | (-2)-(-7)=5 | | 0.3b+3=0.5b |

Equations solver categories