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

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Solution for 4-(1/x)^2-2(3/(4x))^2=0 equation:


D( x )

x = 0

4*x = 0

x = 0

x = 0

4*x = 0

4*x = 0

4*x = 0 // : 4

x = 0

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

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

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

-17/8*x^-2 = -4 // : -17/8

x^-2 = 32/17

-2 < 0

1/(x^2) = 32/17 // * x^2

1 = 32/17*x^2 // : 32/17

17/32 = x^2

x^2 = 17/32 // ^ 1/2

abs(x) = (17/32)^(1/2)

x = (17/32)^(1/2) or x = -(17/32)^(1/2)

x in { (17/32)^(1/2), -(17/32)^(1/2) }

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