X-1/x2=3/4

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Solution for X-1/x2=3/4 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-(1/(x^2)) = 3/4 // - 3/4

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

X-x^-2-3/4 = 0

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

x^-2 = X-3/4

-2 < 0

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

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

1/(X-3/4) = x^2

x^2 = 1/(X-3/4) // ^ 1/2

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

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

x in { 1/((X-3/4)^(1/2)), -(1/((X-3/4)^(1/2))) }

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