1+10x^2+x^4=

Simple and best practice solution for 1+10x^2+x^4= 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 1+10x^2+x^4= equation: 


Simplifying
1 + 10x2 + x4 = 0

Solving
1 + 10x2 + x4 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-1' to each side of the equation.
1 + 10x2 + -1 + x4 = 0 + -1

Reorder the terms:
1 + -1 + 10x2 + x4 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 10x2 + x4 = 0 + -1
10x2 + x4 = 0 + -1

Combine like terms: 0 + -1 = -1
10x2 + x4 = -1

The x term is 10x2.  Take half its coefficient (5).
Square it (25) and add it to both sides.

Add '25' to each side of the equation.
10x2 + 25 + x4 = -1 + 25

Reorder the terms:
25 + 10x2 + x4 = -1 + 25

Combine like terms: -1 + 25 = 24
25 + 10x2 + x4 = 24

Factor a perfect square on the left side:
(x2 + 5)(x2 + 5) = 24

Calculate the square root of the right side: 4.898979486

Break this problem into two subproblems by setting 
(x2 + 5) equal to 4.898979486 and -4.898979486.


Subproblem 1
x2 + 5 = 4.898979486

Simplifying
x2 + 5 = 4.898979486

Reorder the terms:
5 + x2 = 4.898979486

Solving
5 + x2 = 4.898979486

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-5' to each side of the equation.
5 + -5 + x2 = 4.898979486 + -5

Combine like terms: 5 + -5 = 0
0 + x2 = 4.898979486 + -5
x2 = 4.898979486 + -5

Combine like terms: 4.898979486 + -5 = -0.101020514
x2 = -0.101020514

Simplifying
x2 = -0.101020514

Reorder the terms:
0.101020514 + x2 = -0.101020514 + 0.101020514

Combine like terms: -0.101020514 + 0.101020514 = 0.000000000
0.101020514 + 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 + 5 = -4.898979486

Simplifying
x2 + 5 = -4.898979486

Reorder the terms:
5 + x2 = -4.898979486

Solving
5 + x2 = -4.898979486

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-5' to each side of the equation.
5 + -5 + x2 = -4.898979486 + -5

Combine like terms: 5 + -5 = 0
0 + x2 = -4.898979486 + -5
x2 = -4.898979486 + -5

Combine like terms: -4.898979486 + -5 = -9.898979486
x2 = -9.898979486

Simplifying
x2 = -9.898979486

Reorder the terms:
9.898979486 + x2 = -9.898979486 + 9.898979486

Combine like terms: -9.898979486 + 9.898979486 = 0.000000000
9.898979486 + 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:

| x/2+1=4 | | -2i/5-6i | | (b^2)-8b+15=0 | | h(x)=4x^3-6x^2+8x-5 | | 4y^2+54-90=0 | | f(x)=x^3-6x^2+1 | | .0002x^2-.316x+127.9=8 | | 8z+17=4z+19 | | 52=(4x+1)(x-1) | | x+3=3-9 | | P=15+1/2D | | 9-2x-2x^-1/2=0 | | -3(x-2)=2x+1 | | 55=15+1/2 | | 12x-4=6x+9 | | X+0.8X=350 | | (x+2)/2=(x-1)/3 | | (x+2)/2 | | 3n+8=6+n | | 3a^2-21a+18= | | 2x-24=11x-84 | | 7(2x-1)-3(4x+5)=2(x-11) | | (x^2+5)=45 | | 86=3x+x+6+x | | x+2/2=x-1/3 | | 3x^2-1x-2=0 | | -13M=-27 | | 2Y/3-4=Y/6-1 | | (x+3)/56=128 | | 6(x-4)=4(10+x) | | (x+3)/5=8 | | plotx-y=3 |

Equations solver categories