(x^4)-(5x^2)-(9)=0

Simple and best practice solution for (x^4)-(5x^2)-(9)=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)-(5x^2)-(9)=0 equation: 


Simplifying
(x4) + -1(5x2) + -1(9) = 0
x4 + -1(5x2) + -1(9) = 0

Remove parenthesis around (5x2)
x4 + -1 * 5x2 + -1(9) = 0

Multiply -1 * 5
x4 + -5x2 + -1(9) = 0

Multiply -1 * 9
x4 + -5x2 + -9 = 0

Reorder the terms:
-9 + -5x2 + x4 = 0

Solving
-9 + -5x2 + x4 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '9' to each side of the equation.
-9 + -5x2 + 9 + x4 = 0 + 9

Reorder the terms:
-9 + 9 + -5x2 + x4 = 0 + 9

Combine like terms: -9 + 9 = 0
0 + -5x2 + x4 = 0 + 9
-5x2 + x4 = 0 + 9

Combine like terms: 0 + 9 = 9
-5x2 + x4 = 9

The x term is -5x2.  Take half its coefficient (-2.5).
Square it (6.25) and add it to both sides.

Add '6.25' to each side of the equation.
-5x2 + 6.25 + x4 = 9 + 6.25

Reorder the terms:
6.25 + -5x2 + x4 = 9 + 6.25

Combine like terms: 9 + 6.25 = 15.25
6.25 + -5x2 + x4 = 15.25

Factor a perfect square on the left side:
(x2 + -2.5)(x2 + -2.5) = 15.25

Calculate the square root of the right side: 3.905124838

Break this problem into two subproblems by setting 
(x2 + -2.5) equal to 3.905124838 and -3.905124838.


Subproblem 1
x2 + -2.5 = 3.905124838

Simplifying
x2 + -2.5 = 3.905124838

Reorder the terms:
-2.5 + x2 = 3.905124838

Solving
-2.5 + x2 = 3.905124838

Solving for variable 'x'.

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

Add '2.5' to each side of the equation.
-2.5 + 2.5 + x2 = 3.905124838 + 2.5

Combine like terms: -2.5 + 2.5 = 0.0
0.0 + x2 = 3.905124838 + 2.5
x2 = 3.905124838 + 2.5

Combine like terms: 3.905124838 + 2.5 = 6.405124838
x2 = 6.405124838

Simplifying
x2 = 6.405124838

Take the square root of each side:
x = {-2.53083481, 2.53083481}


Subproblem 2
x2 + -2.5 = -3.905124838

Simplifying
x2 + -2.5 = -3.905124838

Reorder the terms:
-2.5 + x2 = -3.905124838

Solving
-2.5 + x2 = -3.905124838

Solving for variable 'x'.

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

Add '2.5' to each side of the equation.
-2.5 + 2.5 + x2 = -3.905124838 + 2.5

Combine like terms: -2.5 + 2.5 = 0.0
0.0 + x2 = -3.905124838 + 2.5
x2 = -3.905124838 + 2.5

Combine like terms: -3.905124838 + 2.5 = -1.405124838
x2 = -1.405124838

Simplifying
x2 = -1.405124838

Reorder the terms:
1.405124838 + x2 = -1.405124838 + 1.405124838

Combine like terms: -1.405124838 + 1.405124838 = 0.000000000
1.405124838 + 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:

| 3x-22=x+20 | | 3x-32=22+x | | 2x^4-6x^3-3x^2+3=0 | | 4x-182=-7x+71 | | 4x+8=3y | | (.12x^2)+(1.56x)+4.81=0 | | 25y^2-30y=-9 | | (.12x^2)+1.56x+4.81=0 | | 9x+3y-4=8 | | x+16.1=38.5 | | 2x+4x=6x-2 | | 5=.25x^3-.5x^2-2.25x+4.5 | | 6a+2b=0 | | -18+6x=6+5x | | x(x+0.0075)=0.00375 | | x(x+0.0075)=0.0003 | | 3(p+1)*(p+1)=81 | | x(x+0.0075)=0.000225 | | x(x+0.0075)=0.00015 | | x(x+0.0075)=0.000075 | | -5-49= | | -33+5x=x+75 | | 6x^2-36x^2= | | 3w+-6-4w= | | (2-4+12*3((12+7)*2)*4)*2= | | x(x+0.0075)=0.00075 | | 5v+-2v= | | 12x-22=47+9x | | X^2-49x+294=0 | | 4x^4-3x^2-9=0 | | -8+30=2w-20 | | h+10h-2h= |

Equations solver categories