10x/9-3/x

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Solution for 10x/9-3/x equation: 


D( x )

x = 0

x = 0

x = 0

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

(10*x)/9-(3/x) = 0

(10*x)/9-3*x^-1 = 0

10/9*x^1-3*x^-1 = 0

(10/9*x^2-3*x^0)/(x^1) = 0 // * x^2

x^1*(10/9*x^2-3*x^0) = 0

x^1

(10/9)*x^2-3 = 0

(10/9)*x^2-3 = 0

DELTA = 0^2-(-3*4*(10/9))

DELTA = 40/3

DELTA > 0

x = ((40/3)^(1/2)+0)/(2*(10/9)) or x = (0-(40/3)^(1/2))/(2*(10/9))

x = 9/20*(40/3)^(1/2) or x = 9/20*(40/3)^(1/2)

x in { 9/20*(40/3)^(1/2), 9/20*(40/3)^(1/2)} 

x in { 9/20*(40/3)^(1/2), 9/20*(40/3)^(1/2) }

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