4x/25=9/x

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Solution for 4x/25=9/x equation: 


D( x )

x = 0

x = 0

x = 0

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

(4*x)/25 = 9/x // - 9/x

(4*x)/25-(9/x) = 0

(4*x)/25-9*x^-1 = 0

4/25*x^1-9*x^-1 = 0

(4/25*x^2-9*x^0)/(x^1) = 0 // * x^2

x^1*(4/25*x^2-9*x^0) = 0

x^1

(4/25)*x^2-9 = 0

(4/25)*x^2-9 = 0

DELTA = 0^2-(-9*4*(4/25))

DELTA = 144/25

DELTA > 0

x = ((144/25)^(1/2)+0)/(2*(4/25)) or x = (0-(144/25)^(1/2))/(2*(4/25))

x = 15/2 or x = -15/2

x in { -15/2, 15/2} 

x in { -15/2, 15/2 }

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