(5x)/4=5/x

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Solution for (5x)/4=5/x equation: 


D( x )

x = 0

x = 0

x = 0

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

(5*x)/4 = 5/x // - 5/x

(5*x)/4-(5/x) = 0

(5*x)/4-5*x^-1 = 0

5/4*x^1-5*x^-1 = 0

(5/4*x^2-5*x^0)/(x^1) = 0 // * x^2

x^1*(5/4*x^2-5*x^0) = 0

x^1

(5/4)*x^2-5 = 0

(5/4)*x^2-5 = 0

DELTA = 0^2-(-5*4*(5/4))

DELTA = 25

DELTA > 0

x = (25^(1/2)+0)/(2*(5/4)) or x = (0-25^(1/2))/(2*(5/4))

x = 2 or x = -2

x in { -2, 2} 

x in { -2, 2 }

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