32/2x=9/x

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Solution for 32/2x=9/x equation: 


D( x )

x = 0

x = 0

x = 0

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

(32/2)*x = 9/x // - 9/x

(32/2)*x-(9/x) = 0

(32/2)*x-9*x^-1 = 0

16*x^1-9*x^-1 = 0

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

x^1*(16*x^2-9*x^0) = 0

x^1

16*x^2-9 = 0

16*x^2-9 = 0

DELTA = 0^2-(-9*4*16)

DELTA = 576

DELTA > 0

x = (576^(1/2)+0)/(2*16) or x = (0-576^(1/2))/(2*16)

x = 3/4 or x = -3/4

x in { -3/4, 3/4} 

x in { -3/4, 3/4 }

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