2x-5=12/x

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


D( x )

x = 0

x = 0

x = 0

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

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

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

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

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

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

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

x^1

2*x^2-5*x-12 = 0

2*x^2-5*x-12 = 0

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

DELTA = 121

DELTA > 0

x = (121^(1/2)+5)/(2*2) or x = (5-121^(1/2))/(2*2)

x = 4 or x = -3/2

x in { -3/2, 4} 

x in { -3/2, 4 }

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