16x^8-17x^4+16=0

Simple and best practice solution for 16x^8-17x^4+16=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 16x^8-17x^4+16=0 equation:


Simplifying
16x8 + -17x4 + 16 = 0

Reorder the terms:
16 + -17x4 + 16x8 = 0

Solving
16 + -17x4 + 16x8 = 0

Solving for variable 'x'.

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

Divide each side by '16'.
1 + -1.0625x4 + x8 = 0

Move the constant term to the right:

Add '-1' to each side of the equation.
1 + -1.0625x4 + -1 + x8 = 0 + -1

Reorder the terms:
1 + -1 + -1.0625x4 + x8 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1.0625x4 + x8 = 0 + -1
-1.0625x4 + x8 = 0 + -1

Combine like terms: 0 + -1 = -1
-1.0625x4 + x8 = -1

The x term is -1.0625x4.  Take half its coefficient (-0.53125).
Square it (0.2822265625) and add it to both sides.

Add '0.2822265625' to each side of the equation.
-1.0625x4 + 0.2822265625 + x8 = -1 + 0.2822265625

Reorder the terms:
0.2822265625 + -1.0625x4 + x8 = -1 + 0.2822265625

Combine like terms: -1 + 0.2822265625 = -0.7177734375
0.2822265625 + -1.0625x4 + x8 = -0.7177734375

Factor a perfect square on the left side:
(x4 + -0.53125)(x4 + -0.53125) = -0.7177734375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

See similar equations:

| -2y-27=6y+3 | | 5y+4=5y-x | | 27x^7-24x^5/3x^3 | | 5y+4=5y+x | | 12+2=-2(7x-7) | | -.5x+1=7 | | 4(5n-1)+16=12-3(4-2n) | | 12x^1/x² | | 5b+3+6=19 | | 3/2v=16 | | (x+2)(x-2)=(2x+1)(x-2) | | 2x-(4x-9)=6-x | | 2x-35=27 | | 5x+3(4-6x)=11 | | 5/11=u/10 | | 8y-3=-4y+6 | | 2x-35=37 | | 2x^2+13x+8=2 | | f(a-4)=5x+2 | | 4/5k-6 | | 4/5k--6 | | 100=6x+4 | | 3x+-3=-9 | | 7.3=8.5-0.6x | | 15=8x+3-6 | | -6y=1/4 | | (2x-4)*x=100 | | 3x/(x^2-x-20) | | 3x/x^2-x-20 | | 1nx=6 | | 2x-4*x=100 | | C=8pieg |

Equations solver categories