7/x-3/2x

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Solution for 7/x-3/2x equation: 


D( x )

x = 0

x = 0

x = 0

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

7/x-((3/2)*x) = 0

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

7*x^-1-3/2*x^1 = 0

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

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

x^1

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

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

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

DELTA = 42

DELTA > 0

x = (42^(1/2)+0)/(2*(-3/2)) or x = (0-42^(1/2))/(2*(-3/2))

x = (42^(1/2))/(-3) or x = (42^(1/2))/3

x in { (42^(1/2))/(-3), (42^(1/2))/3} 

x in { (42^(1/2))/(-3), (42^(1/2))/3 }

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