30/x=7+18/2x

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Solution for 30/x=7+18/2x equation:


D( x )

x = 0

x = 0

x = 0

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

30/x = (18/2)*x+7 // - (18/2)*x+7

30/x-((18/2)*x)-7 = 0

30/x-9*x-7 = 0

30*x^-1-9*x^1-7*x^0 = 0

(30*x^0-9*x^2-7*x^1)/(x^1) = 0 // * x^2

x^1*(30*x^0-9*x^2-7*x^1) = 0

x^1

30-9*x^2-7*x = 0

30-9*x^2-7*x = 0

DELTA = (-7)^2-(-9*4*30)

DELTA = 1129

DELTA > 0

x = (1129^(1/2)+7)/(-9*2) or x = (7-1129^(1/2))/(-9*2)

x = (1129^(1/2)+7)/(-18) or x = (7-1129^(1/2))/(-18)

x in { (1129^(1/2)+7)/(-18), (7-1129^(1/2))/(-18)}

x in { (1129^(1/2)+7)/(-18), (7-1129^(1/2))/(-18) }

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