x^4+6x^2+13=0

Simple and best practice solution for x^4+6x^2+13=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 x^4+6x^2+13=0 equation:


Simplifying
x4 + 6x2 + 13 = 0

Reorder the terms:
13 + 6x2 + x4 = 0

Solving
13 + 6x2 + x4 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-13' to each side of the equation.
13 + 6x2 + -13 + x4 = 0 + -13

Reorder the terms:
13 + -13 + 6x2 + x4 = 0 + -13

Combine like terms: 13 + -13 = 0
0 + 6x2 + x4 = 0 + -13
6x2 + x4 = 0 + -13

Combine like terms: 0 + -13 = -13
6x2 + x4 = -13

The x term is 6x2.  Take half its coefficient (3).
Square it (9) and add it to both sides.

Add '9' to each side of the equation.
6x2 + 9 + x4 = -13 + 9

Reorder the terms:
9 + 6x2 + x4 = -13 + 9

Combine like terms: -13 + 9 = -4
9 + 6x2 + x4 = -4

Factor a perfect square on the left side:
(x2 + 3)(x2 + 3) = -4

Can't calculate square root of the right side.

The solution to this equation could not be determined.

See similar equations:

| 2(x-2)+40=-4x | | 2(2x+1)=22 | | 15x-8x=14 | | 15x-8x=15 | | -45-26= | | -6x^2+7x+2=0 | | 7(x+1)-2(2x+3)-10(1-3x)=30 | | X/120=43/258 | | 4x+290=14x-10 | | -8x^2+4x+9=0 | | 96x+126= | | 21-40= | | 4s-7=177 | | -29-46= | | 5x+3y+7z-2x+4z-7y= | | 2a-5=-77 | | -6-6r=-4(4r-3)-8r | | 9x-4+3x-2=7x+5x-9 | | 10x/9=-2/3 | | 6t-4=-66 | | -6-6r=3(7n-3)-8r | | 25-3n=20 | | 5x+9=199-6x | | 4-(-12)= | | (2x+6)+(x+2)=3(x-1)+6 | | 13-4x=18x-20 | | -24-40= | | (3xy^2-5)+(2xy^2+6)= | | 5a(6a-5)=0 | | 1/12x6/7 | | (3x-5)(7x+6)=0 | | x^(2/3)=49 |

Equations solver categories