x/4=9/x

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Solution for x/4=9/x equation: 


D( x )

x = 0

x = 0

x = 0

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

x/4 = 9/x // - 9/x

x/4-(9/x) = 0

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

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

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

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

x^1

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

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

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

DELTA = 9

DELTA > 0

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

x = 6 or x = -6

x in { -6, 6} 

x in { -6, 6 }

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