x^4-15.75x^2-4=0

Simple and best practice solution for x^4-15.75x^2-4=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^4-15.75x^2-4=0 equation: 


Simplifying
x4 + -15.75x2 + -4 = 0

Reorder the terms:
-4 + -15.75x2 + x4 = 0

Solving
-4 + -15.75x2 + x4 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '4' to each side of the equation.
-4 + -15.75x2 + 4 + x4 = 0 + 4

Reorder the terms:
-4 + 4 + -15.75x2 + x4 = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -15.75x2 + x4 = 0 + 4
-15.75x2 + x4 = 0 + 4

Combine like terms: 0 + 4 = 4
-15.75x2 + x4 = 4

The x term is -15.75x2.  Take half its coefficient (-7.875).
Square it (62.015625) and add it to both sides.

Add '62.015625' to each side of the equation.
-15.75x2 + 62.015625 + x4 = 4 + 62.015625

Reorder the terms:
62.015625 + -15.75x2 + x4 = 4 + 62.015625

Combine like terms: 4 + 62.015625 = 66.015625
62.015625 + -15.75x2 + x4 = 66.015625

Factor a perfect square on the left side:
(x2 + -7.875)(x2 + -7.875) = 66.015625

Calculate the square root of the right side: 8.125

Break this problem into two subproblems by setting 
(x2 + -7.875) equal to 8.125 and -8.125.


Subproblem 1
x2 + -7.875 = 8.125

Simplifying
x2 + -7.875 = 8.125

Reorder the terms:
-7.875 + x2 = 8.125

Solving
-7.875 + x2 = 8.125

Solving for variable 'x'.

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

Add '7.875' to each side of the equation.
-7.875 + 7.875 + x2 = 8.125 + 7.875

Combine like terms: -7.875 + 7.875 = 0.000
0.000 + x2 = 8.125 + 7.875
x2 = 8.125 + 7.875

Combine like terms: 8.125 + 7.875 = 16
x2 = 16

Simplifying
x2 = 16

Take the square root of each side:
x = {-4, 4}


Subproblem 2
x2 + -7.875 = -8.125

Simplifying
x2 + -7.875 = -8.125

Reorder the terms:
-7.875 + x2 = -8.125

Solving
-7.875 + x2 = -8.125

Solving for variable 'x'.

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

Add '7.875' to each side of the equation.
-7.875 + 7.875 + x2 = -8.125 + 7.875

Combine like terms: -7.875 + 7.875 = 0.000
0.000 + x2 = -8.125 + 7.875
x2 = -8.125 + 7.875

Combine like terms: -8.125 + 7.875 = -0.25
x2 = -0.25

Simplifying
x2 = -0.25

Reorder the terms:
0.25 + x2 = -0.25 + 0.25

Combine like terms: -0.25 + 0.25 = 0.00
0.25 + x2 = 0.00

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=7 | | -17=7k-3 | | 4y+2/3+1/2= | | 6h=3h-9 | | 7x-7=10+20 | | .0825x^2-.924x+1.824=0 | | 4(4+8p)=6(5p+5) | | 15s+-2s+5s-19s=-16 | | 9(7x+5)= | | 0.01+(x+24)-0.24=0.01(7x+24) | | 4x+10x-50=2250 | | -3u^2-7u+6=0 | | 20z-18z+-10z+19z+14=-19 | | 7x-7=10x+20 | | 4-2y=7-y | | -3n-9n+11n+20n+-14n=-20 | | -13-8a-4a=-2 | | 176=4y+4 | | 3x^2+13+14=0 | | n/10=40/24 | | n-8=-20 | | -4d+8d+4=-16 | | 3(y+4)=4+1+2y | | .0825x^2-.934x+1.885=0 | | 6a-2a-2a=14 | | x-.3x=48 | | 18a/5-4 | | 9k+k-6k+4k-7k=11 | | gay= | | 2y^2-2y=5y^2-5 | | g*a*y=x | | y-14=4x |

Equations solver categories