x^1/2(17x-7x^-1)=0

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Solution for x^1/2(17x-7x^-1)=0 equation:


D( x )

x = 0

x = 0

x = 0

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

((x^1)/2)*(17*x-(7*x^-1)) = 0

(x/2)*(17*x-7*x^-1) = 0

1/2*x*(17*x-7*x^-1) = 0

17*x-7*x^-1 = 0

x^-1*(17*x^2-7) = 0

17*x^2 = 7 // : 17

x^2 = 7/17

x^2 = 7/17 // ^ 1/2

abs(x) = (7/17)^(1/2)

x = (7/17)^(1/2) or x = -(7/17)^(1/2)

x^-1*(x-(7/17)^(1/2))*(x+(7/17)^(1/2)) = 0

1/2*x^-1*x*(x-(7/17)^(1/2))*(x+(7/17)^(1/2)) = 0

( 1/2*x )

1/2*x = 0 // : 1/2

x = 0

( x+(7/17)^(1/2) )

x+(7/17)^(1/2) = 0 // - (7/17)^(1/2)

x = -(7/17)^(1/2)

( x-(7/17)^(1/2) )

x-(7/17)^(1/2) = 0 // + (7/17)^(1/2)

x = (7/17)^(1/2)

( x^-1 )

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

x^-1 = 0

x należy do O

x in { 0}

x in { -(7/17)^(1/2), (7/17)^(1/2) }

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