2x/5=10/x

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Solution for 2x/5=10/x equation: 


D( x )

x = 0

x = 0

x = 0

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

(2*x)/5 = 10/x // - 10/x

(2*x)/5-(10/x) = 0

(2*x)/5-10*x^-1 = 0

2/5*x^1-10*x^-1 = 0

(2/5*x^2-10*x^0)/(x^1) = 0 // * x^2

x^1*(2/5*x^2-10*x^0) = 0

x^1

(2/5)*x^2-10 = 0

(2/5)*x^2-10 = 0

DELTA = 0^2-(-10*4*(2/5))

DELTA = 16

DELTA > 0

x = (16^(1/2)+0)/(2*(2/5)) or x = (0-16^(1/2))/(2*(2/5))

x = 5 or x = -5

x in { -5, 5} 

x in { -5, 5 }

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