(6/x)-(3x/7)

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Solution for (6/x)-(3x/7) equation: 


D( x )

x = 0

x = 0

x = 0

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

6/x-((3*x)/7) = 0

(-3/7)*x+6/x = 0

6*x^-1-3/7*x^1 = 0

(6*x^0-3/7*x^2)/(x^1) = 0 // * x^2

x^1*(6*x^0-3/7*x^2) = 0

x^1

(-3/7)*x^2+6 = 0

(-3/7)*x^2+6 = 0

DELTA = 0^2-(4*6*(-3/7))

DELTA = 72/7

DELTA > 0

x = ((72/7)^(1/2)+0)/(2*(-3/7)) or x = (0-(72/7)^(1/2))/(2*(-3/7))

x = -7/6*(72/7)^(1/2) or x = 7/6*(72/7)^(1/2)

x in { -7/6*(72/7)^(1/2), 7/6*(72/7)^(1/2)} 

x in { -7/6*(72/7)^(1/2), 7/6*(72/7)^(1/2) }

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