x/2-50/x=75/(2x)

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Solution for x/2-50/x=75/(2x) equation: 


D( x )

x = 0

2*x = 0

x = 0

x = 0

2*x = 0

2*x = 0

2*x = 0 // : 2

x = 0

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

x/2-(50/x) = 75/(2*x) // - 75/(2*x)

x/2-(50/x)-(75/(2*x)) = 0

x/2-50*x^-1+(-75/2)*x^-1 = 0

1/2*x^1-175/2*x^-1 = 0

(1/2*x^2-175/2*x^0)/(x^1) = 0 // * x^2

x^1*(1/2*x^2-175/2*x^0) = 0

x^1

(1/2)*x^2-175/2 = 0

(1/2)*x^2-175/2 = 0

DELTA = 0^2-(4*(1/2)*(-175/2))

DELTA = 175

DELTA > 0

x = (175^(1/2)+0)/(2*(1/2)) or x = (0-175^(1/2))/(2*(1/2))

x = 5*7^(1/2) or x = -5*7^(1/2)

x in { -5*7^(1/2), 5*7^(1/2)} 

x in { -5*7^(1/2), 5*7^(1/2) }

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