x^2*(50/x-x/2)

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Solution for x^2*(50/x-x/2) equation: 


D( x )

x = 0

x = 0

x = 0

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

x^2*(50/x-(x/2)) = 0

x^2*(50*x^-1-1/2*x) = 0

50*x^-1-1/2*x = 0

x^-1*(50-1/2*x^2) = 0

-1/2*x^2 = -50 // : -1/2

x^2 = 100

x^2 = 100 // ^ 1/2

abs(x) = 10

x = 10 or x = -10

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

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

( x+10 )

x+10 = 0 // - 10

x = -10

( x-10 )

x-10 = 0 // + 10

x = 10

( x^-1 )

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

x^-1 = 0

x należy do O

( x^2 )

1*x^2 = 0 // : 1

x^2 = 0

x = 0

x in { 0} 

x in { -10, 10 }

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