(2/x)-x=(-23/5)

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Solution for (2/x)-x=(-23/5) equation: 


D( x )

x = 0

x = 0

x = 0

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

2/x-x = -23/5 // + -23/5

2/x-x-(-23/5) = 0

2/x-x+23/5 = 0

2*x^-1-1*x^1+23/5*x^0 = 0

(23/5*x^1-1*x^2+2*x^0)/(x^1) = 0 // * x^2

x^1*(23/5*x^1-1*x^2+2*x^0) = 0

x^1

(23/5)*x-x^2+2 = 0

(23/5)*x-x^2+2 = 0

DELTA = (23/5)^2-(-1*2*4)

DELTA = 729/25

DELTA > 0

x = ((729/25)^(1/2)-(23/5))/(-1*2) or x = (-(23/5)-(729/25)^(1/2))/(-1*2)

x = -2/5 or x = 5

x in { -2/5, 5} 

x in { -2/5, 5 }

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