0=6x^2-6/x^2

Simple and best practice solution for 0=6x^2-6/x^2 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 0=6x^2-6/x^2 equation: 


D( x )

x^2 = 0

x^2 = 0

x^2 = 0

1*x^2 = 0 // : 1

x^2 = 0

x = 0

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

0 = 6*x^2-(6/(x^2)) // - 6*x^2-(6/(x^2))

6/(x^2)-(6*x^2)+0 = 0

6/(x^2)-6*x^2 = 0

6*x^-2-6*x^2 = 0

t_1 = x^2

6*t_1^-1-6*t_1^1 = 0

6*t_1^-1-6*t_1^1 = 0

(6*t_1^0-6*t_1^2)/(t_1^1) = 0 // * t_1^2

t_1^1*(6*t_1^0-6*t_1^2) = 0

t_1^1

6-6*t_1^2 = 0

6-6*t_1^2 = 0

DELTA = 0^2-(-6*4*6)

DELTA = 144

DELTA > 0

t_1 = (144^(1/2)+0)/(-6*2) or t_1 = (0-144^(1/2))/(-6*2)

t_1 = -1 or t_1 = 1

t_1 in { -1, 1} 

t_1 = -1

x^2+1 = 0

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

x^2 = -1

t_1 = 1

x^2-1 = 0

1*x^2 = 1 // : 1

x^2 = 1

x^2 = 1 // ^ 1/2

abs(x) = 1

x = 1 or x = -1

x in { 1, -1 }

See similar equations:

| 6x+11-x=2(x+1) | | 10v=7+11v | | 3=8x-21 | | 18+13b=-18+15b | | 15r^2-114r-189=0 | | 13-20h+16h=-17-2h | | -2y=126 | | 24x+5+2x=3(10x-1) | | 6-n=-3n | | 5y+8x=16 | | .6x+5=5x+8+2x | | -4d=7-3d | | 15x+3=-45 | | -4w+5=3w+5 | | -8f-10-9=8+f | | 300=-16t^2+96t+200 | | -7x-8(7x+6)=330 | | -8y-1=y-10 | | 16+5x=x | | -13-26=-16 | | 4w+5w+2w= | | 8r-1=-r-10 | | 6(3y+5)=-20 | | 3k+5=2k | | s=80 | | -3p=p+8 | | 5x+y=3x+5y-8 | | 3x^2-14x-20=0 | | 6n^2-14n-20=0 | | f(x)=2x^2+32 | | -5c=-7-4c | | -9k-6k=-21 |

Equations solver categories