x^4-16x^2+65=0

Simple and best practice solution for x^4-16x^2+65=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^4-16x^2+65=0 equation:


Simplifying
x4 + -16x2 + 65 = 0

Reorder the terms:
65 + -16x2 + x4 = 0

Solving
65 + -16x2 + x4 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-65' to each side of the equation.
65 + -16x2 + -65 + x4 = 0 + -65

Reorder the terms:
65 + -65 + -16x2 + x4 = 0 + -65

Combine like terms: 65 + -65 = 0
0 + -16x2 + x4 = 0 + -65
-16x2 + x4 = 0 + -65

Combine like terms: 0 + -65 = -65
-16x2 + x4 = -65

The x term is -16x2.  Take half its coefficient (-8).
Square it (64) and add it to both sides.

Add '64' to each side of the equation.
-16x2 + 64 + x4 = -65 + 64

Reorder the terms:
64 + -16x2 + x4 = -65 + 64

Combine like terms: -65 + 64 = -1
64 + -16x2 + x4 = -1

Factor a perfect square on the left side:
(x2 + -8)(x2 + -8) = -1

Can't calculate square root of the right side.

The solution to this equation could not be determined.

See similar equations:

| 7.15x+57.2=114.4 | | 2.4=4xg | | 24a+6=18a-4 | | -7x+3(x+4)=-4 | | 3(x+2)+2x=26 | | 5/6r=1/6 | | p+15-5= | | 10n+7=87 | | 250=2(w)+2(3w-15) | | 2(u-5)-5u=8 | | 56r=16 | | -.17t^2+5t-17=0 | | -2x-5=-(-4)+2 | | a=-14 | | x/n+2=8 | | 2x-6-5x=-9 | | 7m+25= | | 2x+5x=6x-5 | | X^3=0.125 | | 1/6s+1/2s | | 0=-0.25t^2+5t-17 | | 2(y+6)+7y=-6 | | 6y=-18x-54 | | log[2](3x-1)=8 | | 50x=75(12-x) | | x+x-4+4x=62 | | 2(y+6)+7=-6 | | 1/6s+1/2(s-2)=45/2 | | 25x-5=24+11 | | 0.6x=144 | | 13-467z+578=0 | | 3x+5x+51x= |

Equations solver categories