1-(8/x^2)=-4/x^4

Simple and best practice solution for 1-(8/x^2)=-4/x^4 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-(8/x^2)=-4/x^4 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-(8/(x^2)) = -4/(x^4) // + -4/(x^4)

1-(8/(x^2))-(-4/(x^4)) = 0

4*x^-4-8*x^-2+1 = 0

t_1 = x^-2

4*t_1^2-8*t_1^1+1 = 0

4*t_1^2-8*t_1+1 = 0

DELTA = (-8)^2-(1*4*4)

DELTA = 48

DELTA > 0

t_1 = (48^(1/2)+8)/(2*4) or t_1 = (8-48^(1/2))/(2*4)

t_1 = (4*3^(1/2)+8)/8 or t_1 = (8-4*3^(1/2))/8

t_1 = (8-4*3^(1/2))/8

x^-2-((8-4*3^(1/2))/8) = 0

1*x^-2 = (8-4*3^(1/2))/8 // : 1

x^-2 = (8-4*3^(1/2))/8

-2 < 0

1/(x^2) = (8-4*3^(1/2))/8 // * x^2

1 = ((8-4*3^(1/2))/8)*x^2 // : (8-4*3^(1/2))/8

8*(8-4*3^(1/2))^-1 = x^2

x^2 = 8*(8-4*3^(1/2))^-1 // ^ 1/2

abs(x) = 2*2^(1/2)*(8-4*3^(1/2))^(-1/2)

x = 2*2^(1/2)*(8-4*3^(1/2))^(-1/2) or x = -(2*2^(1/2)*(8-4*3^(1/2))^(-1/2))

t_1 = (4*3^(1/2)+8)/8

x^-2-((4*3^(1/2)+8)/8) = 0

1*x^-2 = (4*3^(1/2)+8)/8 // : 1

x^-2 = (4*3^(1/2)+8)/8

-2 < 0

1/(x^2) = (4*3^(1/2)+8)/8 // * x^2

1 = ((4*3^(1/2)+8)/8)*x^2 // : (4*3^(1/2)+8)/8

8*(4*3^(1/2)+8)^-1 = x^2

x^2 = 8*(4*3^(1/2)+8)^-1 // ^ 1/2

abs(x) = 2*2^(1/2)*(4*3^(1/2)+8)^(-1/2)

x = 2*2^(1/2)*(4*3^(1/2)+8)^(-1/2) or x = -(2*2^(1/2)*(4*3^(1/2)+8)^(-1/2))

x in { 2*2^(1/2)*(8-4*3^(1/2))^(-1/2), -(2*2^(1/2)*(8-4*3^(1/2))^(-1/2)), 2*2^(1/2)*(4*3^(1/2)+8)^(-1/2), -(2*2^(1/2)*(4*3^(1/2)+8)^(-1/2)) }

See similar equations:

| 5.3y+0.39=3.02y-2.46 | | x(x+49)=14 | | 6x=5x-16 | | 10x^2+6x-16=0 | | s=gr-3gt^4 | | 4x^2+29x=-7 | | 6+1/3y=10+12x | | 2x+3y=36(x,2) | | (3x/x+1)-3+(3/2(x+1)) | | 3/5(-1/9) | | 3(8/6)+5= | | 4x^2-5xy-9y^2 | | 10x^2+6-16=0 | | n+(n+1)=-139 | | x-6+1=3 | | -20=8x-4x | | C=R+RXT,C=320,X=3 | | -6(V+2)+2V+7=8V+7 | | 5a-8(5a+7)=12-a | | C=R+RXT,C=320,X=5,T=3 | | (x-7)^2=-8 | | -5(2-4n)=5n+5 | | 2(2-3)(-4+7)= | | -6(V+2)+2V+7=8V+7= | | x^2+5*x-24 | | x-6+3=6 | | 8v^2=-3 | | 1+3(4p-5)=6p | | 0.4x-0.2(6-x)=1.5 | | -7(2-x)=0 | | 2+4(5x–7)=46 | | sin45° |

Equations solver categories