Y=4/x2-x2/x2

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Solution for Y=4/x2-x2/x2 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)

Y = 4/(x^2)-((x^2)/(x^2)) // - 4/(x^2)-((x^2)/(x^2))

Y-(4/(x^2))+(x^2)/(x^2) = 0

Y-4*x^-2+(x^2)/(x^2) = 0

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

x^-2 = (Y+1)/4

-2 < 0

1/(x^2) = (Y+1)/4 // * x^2

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

4*(Y+1)^-1 = x^2

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

abs(x) = 2*(Y+1)^(-1/2)

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

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

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