x^2-2=5/x^2

Simple and best practice solution for x^2-2=5/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 x^2-2=5/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)

x^2-2 = 5/(x^2) // - 5/(x^2)

x^2-(5/(x^2))-2 = 0

x^2-5*x^-2-2 = 0

t_1 = x^2

1*t_1^1-5*t_1^-1-2 = 0

1*t_1^1-5*t_1^-1-2*t_1^0 = 0

(1*t_1^2-2*t_1^1-5*t_1^0)/(t_1^1) = 0 // * t_1^2

t_1^1*(1*t_1^2-2*t_1^1-5*t_1^0) = 0

t_1^1

t_1^2-2*t_1-5 = 0

t_1^2-2*t_1-5 = 0

DELTA = (-2)^2-(-5*1*4)

DELTA = 24

DELTA > 0

t_1 = (24^(1/2)+2)/(1*2) or t_1 = (2-24^(1/2))/(1*2)

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

t_1 in { (2-2*6^(1/2))/2, (2*6^(1/2)+2)/2} 

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

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

1*x^2 = (2-2*6^(1/2))/2 // : 1

x^2 = (2-2*6^(1/2))/2

t_1 = (2*6^(1/2)+2)/2

x^2-((2*6^(1/2)+2)/2) = 0

1*x^2 = (2*6^(1/2)+2)/2 // : 1

x^2 = (2*6^(1/2)+2)/2

x^2 = (2*6^(1/2)+2)/2 // ^ 1/2

abs(x) = ((2*6^(1/2)+2)^(1/2))/(2^(1/2))

x = ((2*6^(1/2)+2)^(1/2))/(2^(1/2)) or x = -(((2*6^(1/2)+2)^(1/2))/(2^(1/2)))

x in { ((2*6^(1/2)+2)^(1/2))/(2^(1/2)), -(((2*6^(1/2)+2)^(1/2))/(2^(1/2))) }

See similar equations:

| 2x^3-15x^2+2x-15=0 | | 0.004x-(256/(x^2))=0 | | x+1/6+2x-6/3=x-1/2 | | (X+3)(x-5)=1-2x | | 2.22x+4.91x^2=2.00 | | 5n-1=2n+q | | 4n-11=13 | | 5(n+3)= | | -2ac*4bd= | | 3x+2y=560 | | (p+7)(p-4)= | | 18b^2+4b-3= | | 3x+6y=1 | | -5/4=t^2+t | | w^2-121= | | 2m^2+9m-5=0 | | 7/(2+5^(1/2)) | | 7/(2+((5)^1/2)) | | 7/(2+((5)1/2)) | | (a^2b^5)^-1/4/(a^-3b^2)^1/6 | | B=17.5*1/1-17.5*(1/30) | | 27/2*27/2 | | -6x+5(6x-15)=117 | | 6x-12=49 | | 5+x/3 | | B=17.5/1-17.5*(1/30) | | -3-x/4 | | 17.5*1/1-17.5*(1/30) | | B=17.5/1*1/1-17.5*1 | | B=17.5/1*1/1-17.5*1.5 | | 51x=320 | | B=1/30*1/1-1/30*1/30 |

Equations solver categories