1-(1/x^2)-(90/x^4)=0

Simple and best practice solution for 1-(1/x^2)-(90/x^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 1-(1/x^2)-(90/x^4)=0 equation: 


D( x )

x^4 = 0

x^2 = 0

x^4 = 0

x^4 = 0

1*x^4 = 0 // : 1

x^4 = 0

x = 0

x^2 = 0

x^2 = 0

1*x^2 = 0 // : 1

x^2 = 0

x = 0

x in (-oo:0) U (0:+oo)

1-(1/(x^2))-(90/(x^4)) = 0

1-x^-2-90*x^-4 = 0

t_1 = x^-2

1-90*t_1^2-1*t_1^1 = 0

1-90*t_1^2-t_1 = 0

DELTA = (-1)^2-(-90*1*4)

DELTA = 361

DELTA > 0

t_1 = (361^(1/2)+1)/(-90*2) or t_1 = (1-361^(1/2))/(-90*2)

t_1 = -1/9 or t_1 = 1/10

t_1 = -1/9

x^-2+1/9 = 0

1*x^-2 = -1/9 // : 1

x^-2 = -1/9

-2 < 0

1/(x^2) = -1/9 // * x^2

1 = -1/9*x^2 // : -1/9

-9 = x^2

t_1 = 1/10

x^-2-1/10 = 0

1*x^-2 = 1/10 // : 1

x^-2 = 1/10

-2 < 0

1/(x^2) = 1/10 // * x^2

1 = 1/10*x^2 // : 1/10

10 = x^2

x^2 = 10 // ^ 1/2

abs(x) = 10^(1/2)

x = 10^(1/2) or x = -10^(1/2)

x in { 10^(1/2), -10^(1/2) }

See similar equations:

| 26d=350 | | 5k^2+10k+155=0 | | x-3.5=16.2 | | 5+7x=25-3x | | 5r^2=-30+35r | | (1/x)=(1/32)-(1/(200-x)) | | 13-4x=1+1x | | 130=26c | | 3y-2(g+4)=8(g-1) | | Z/5-5=1/3/4 | | 6x+4=12x+26 | | 7x-9=-x-105 | | c+-614=-350 | | 4cos^2x+8cosx+4=0 | | x^2+2x-182=0 | | Y/11-5=3 | | 151=7x-6(-4x+11) | | -0.5r=112 | | 8x^2-33x-6=0 | | 250x^2-343x+81=7x+1+5x^2 | | 12n=30 | | r+-939=-640 | | 5k^2+8k^2+155=0 | | 6x+3x-8x+10y= | | 5r=340 | | w/3-7=3 | | 4-7x+2x=-6 | | x+2(38)=103 | | v+412=101 | | 30r=-840 | | -5=m-14 | | 3=3+3n-5n^2 |

Equations solver categories