10(x-2/x)

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Solution for 10(x-2/x) equation: 


D( x )

x = 0

x = 0

x = 0

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

10*(x-(2/x)) = 0

10*(x-2*x^-1) = 0

x-2*x^-1 = 0

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

1*x^2 = 2 // : 1

x^2 = 2

x^2 = 2 // ^ 1/2

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

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

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

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

( x+2^(1/2) )

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

x = -2^(1/2)

( x-2^(1/2) )

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

x = 2^(1/2)

( x^-1 )

1*x^-1 = 0 // : 1

x^-1 = 0

x należy do O

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

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