x/2=12/x-5

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Solution for x/2=12/x-5 equation: 


D( x )

x = 0

x = 0

x = 0

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

x/2 = 12/x-5 // - 12/x-5

x/2-(12/x)+5 = 0

x/2-12*x^-1+5 = 0

1/2*x^1-12*x^-1+5*x^0 = 0

(1/2*x^2+5*x^1-12*x^0)/(x^1) = 0 // * x^2

x^1*(1/2*x^2+5*x^1-12*x^0) = 0

x^1

(1/2)*x^2+5*x-12 = 0

(1/2)*x^2+5*x-12 = 0

DELTA = 5^2-(-12*4*(1/2))

DELTA = 49

DELTA > 0

x = (49^(1/2)-5)/(2*(1/2)) or x = (-49^(1/2)-5)/(2*(1/2))

x = 2 or x = -12

x in { -12, 2} 

x in { -12, 2 }

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