40x-30/x=0

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Solution for 40x-30/x=0 equation: 


D( x )

x = 0

x = 0

x = 0

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

40*x-(30/x) = 0

40*x-30*x^-1 = 0

40*x^1-30*x^-1 = 0

(40*x^2-30*x^0)/(x^1) = 0 // * x^2

x^1*(40*x^2-30*x^0) = 0

x^1

40*x^2-30 = 0

40*x^2-30 = 0

DELTA = 0^2-(-30*4*40)

DELTA = 4800

DELTA > 0

x = (4800^(1/2)+0)/(2*40) or x = (0-4800^(1/2))/(2*40)

x = (3^(1/2))/2 or x = (-3^(1/2))/2

x in { (-3^(1/2))/2, (3^(1/2))/2} 

x in { (-3^(1/2))/2, (3^(1/2))/2 }

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