2x-1=15/x

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Solution for 2x-1=15/x equation: 


D( x )

x = 0

x = 0

x = 0

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

2*x-1 = 15/x // - 15/x

2*x-(15/x)-1 = 0

2*x-15*x^-1-1 = 0

2*x^1-15*x^-1-1*x^0 = 0

(2*x^2-1*x^1-15*x^0)/(x^1) = 0 // * x^2

x^1*(2*x^2-1*x^1-15*x^0) = 0

x^1

2*x^2-x-15 = 0

2*x^2-x-15 = 0

DELTA = (-1)^2-(-15*2*4)

DELTA = 121

DELTA > 0

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

x = 3 or x = -5/2

x in { -5/2, 3} 

x in { -5/2, 3 }

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