144/x=4/9x

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Solution for 144/x=4/9x equation: 


D( x )

x = 0

x = 0

x = 0

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

144/x = (4/9)*x // - (4/9)*x

144/x-((4/9)*x) = 0

(-4/9)*x+144/x = 0

144*x^-1-4/9*x^1 = 0

(144*x^0-4/9*x^2)/(x^1) = 0 // * x^2

x^1*(144*x^0-4/9*x^2) = 0

x^1

(-4/9)*x^2+144 = 0

(-4/9)*x^2+144 = 0

DELTA = 0^2-(4*144*(-4/9))

DELTA = 256

DELTA > 0

x = (256^(1/2)+0)/(2*(-4/9)) or x = (0-256^(1/2))/(2*(-4/9))

x = -18 or x = 18

x in { -18, 18} 

x in { -18, 18 }

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