1/5(5x-5/x)

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Solution for 1/5(5x-5/x) equation:


D( x )

x = 0

x = 0

x = 0

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

(1/5)*(5*x-(5/x)) = 0

(1/5)*(5*x-5*x^-1) = 0

1/5*(5*x-5*x^-1) = 0

5*x-5*x^-1 = 0

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

1*x^2 = 1 // : 1

x^2 = 1

x^2 = 1 // ^ 1/2

abs(x) = 1

x = 1 or x = -1

5*x^-1*(x-1)*(x+1) = 0

1/5*5*x^-1*(x-1)*(x+1) = 0

( 1/5 )

1/5 = 0

x belongs to the empty set

( 5*x^-1 )

5*x^-1 = 0 // : 5

x^-1 = 0

x należy do O

( x+1 )

x+1 = 0 // - 1

x = -1

( x-1 )

x-1 = 0 // + 1

x = 1

x in { -1, 1 }

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