2x^4+9x^2+2=0

Simple and best practice solution for 2x^4+9x^2+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 2x^4+9x^2+2=0 equation:


Simplifying
2x4 + 9x2 + 2 = 0

Reorder the terms:
2 + 9x2 + 2x4 = 0

Solving
2 + 9x2 + 2x4 = 0

Solving for variable 'x'.

Begin completing the square.  Divide all terms by
2 the coefficient of the squared term: 

Divide each side by '2'.
1 + 4.5x2 + x4 = 0

Move the constant term to the right:

Add '-1' to each side of the equation.
1 + 4.5x2 + -1 + x4 = 0 + -1

Reorder the terms:
1 + -1 + 4.5x2 + x4 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 4.5x2 + x4 = 0 + -1
4.5x2 + x4 = 0 + -1

Combine like terms: 0 + -1 = -1
4.5x2 + x4 = -1

The x term is 4.5x2.  Take half its coefficient (2.25).
Square it (5.0625) and add it to both sides.

Add '5.0625' to each side of the equation.
4.5x2 + 5.0625 + x4 = -1 + 5.0625

Reorder the terms:
5.0625 + 4.5x2 + x4 = -1 + 5.0625

Combine like terms: -1 + 5.0625 = 4.0625
5.0625 + 4.5x2 + x4 = 4.0625

Factor a perfect square on the left side:
(x2 + 2.25)(x2 + 2.25) = 4.0625

Calculate the square root of the right side: 2.015564437

Break this problem into two subproblems by setting 
(x2 + 2.25) equal to 2.015564437 and -2.015564437.

Subproblem 1

x2 + 2.25 = 2.015564437 Simplifying x2 + 2.25 = 2.015564437 Reorder the terms: 2.25 + x2 = 2.015564437 Solving 2.25 + x2 = 2.015564437 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.25' to each side of the equation. 2.25 + -2.25 + x2 = 2.015564437 + -2.25 Combine like terms: 2.25 + -2.25 = 0.00 0.00 + x2 = 2.015564437 + -2.25 x2 = 2.015564437 + -2.25 Combine like terms: 2.015564437 + -2.25 = -0.234435563 x2 = -0.234435563 Simplifying x2 = -0.234435563 Reorder the terms: 0.234435563 + x2 = -0.234435563 + 0.234435563 Combine like terms: -0.234435563 + 0.234435563 = 0.000000000 0.234435563 + x2 = 0.000000000 The solution to this equation could not be determined.This subproblem is being ignored because a solution could not be determined.

Subproblem 2

x2 + 2.25 = -2.015564437 Simplifying x2 + 2.25 = -2.015564437 Reorder the terms: 2.25 + x2 = -2.015564437 Solving 2.25 + x2 = -2.015564437 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.25' to each side of the equation. 2.25 + -2.25 + x2 = -2.015564437 + -2.25 Combine like terms: 2.25 + -2.25 = 0.00 0.00 + x2 = -2.015564437 + -2.25 x2 = -2.015564437 + -2.25 Combine like terms: -2.015564437 + -2.25 = -4.265564437 x2 = -4.265564437 Simplifying x2 = -4.265564437 Reorder the terms: 4.265564437 + x2 = -4.265564437 + 4.265564437 Combine like terms: -4.265564437 + 4.265564437 = 0.000000000 4.265564437 + x2 = 0.000000000 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:

| 7-8=x | | 17=1+x-5x | | 7m+2=58,7 | | 3(4+x)=8-2x | | 6+8(1+x)=-x-40 | | (s+7)(s-5)= | | 5a+6b=4a-3 | | 3u-2=3u+2 | | (7t^2-t-9)(3t^2+7t-1)= | | 1g-s=-8a+3 | | 1.8*1.5= | | s=169cm | | (17/5)+4x=5x-(18/5) | | x+x+9=2x-9 | | 4w+5=4w+8 | | 1/3x=1-1/2y | | 2x(x-18)=0 | | x+3y=128 | | 35+5w+25y= | | 5-3m=13 | | x-4+25/5 | | -8+2m=-6(m+2) | | 3x(x-5)-2(x-2)(x+2)=(x+4)(x+1)-16 | | x=1000-20y-50z | | -2y-6=3y+19 | | 4x+9y=23 | | .1x+2y+5z=100 | | F(x)=2x-11 | | 8x+1.5xy=300 | | 5x+4=-2x-5 | | 6a/17a | | f(x)=3x^3-4x^2-27x+36 |

Equations solver categories