2x-9/x=x-7/2

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Solution for 2x-9/x=x-7/2 equation: 


D( x )

x = 0

x = 0

x = 0

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

2*x-(9/x) = x-(7/2) // - x-(7/2)

2*x-x-(9/x)+7/2 = 0

2*x-x-9*x^-1+7/2 = 0

1*x^1-9*x^-1+7/2*x^0 = 0

(1*x^2+7/2*x^1-9*x^0)/(x^1) = 0 // * x^2

x^1*(1*x^2+7/2*x^1-9*x^0) = 0

x^1

x^2+(7/2)*x-9 = 0

x^2+(7/2)*x-9 = 0

DELTA = (7/2)^2-(-9*1*4)

DELTA = 193/4

DELTA > 0

x = ((193/4)^(1/2)-(7/2))/(1*2) or x = (-(7/2)-(193/4)^(1/2))/(1*2)

x = ((193/4)^(1/2)-7/2)/2 or x = (-((193/4)^(1/2)+7/2))/2

x in { (-((193/4)^(1/2)+7/2))/2, ((193/4)^(1/2)-7/2)/2} 

x in { (-((193/4)^(1/2)+7/2))/2, ((193/4)^(1/2)-7/2)/2 }

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