2x-7/x=x-2/5

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Solution for 2x-7/x=x-2/5 equation: 


D( x )

x = 0

x = 0

x = 0

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

2*x-(7/x) = x-(2/5) // - x-(2/5)

2*x-x-(7/x)+2/5 = 0

2*x-x-7*x^-1+2/5 = 0

1*x^1-7*x^-1+2/5*x^0 = 0

(1*x^2+2/5*x^1-7*x^0)/(x^1) = 0 // * x^2

x^1*(1*x^2+2/5*x^1-7*x^0) = 0

x^1

x^2+(2/5)*x-7 = 0

x^2+(2/5)*x-7 = 0

DELTA = (2/5)^2-(-7*1*4)

DELTA = 704/25

DELTA > 0

x = ((704/25)^(1/2)-(2/5))/(1*2) or x = (-(2/5)-(704/25)^(1/2))/(1*2)

x = ((704/25)^(1/2)-2/5)/2 or x = (-((704/25)^(1/2)+2/5))/2

x in { (-((704/25)^(1/2)+2/5))/2, ((704/25)^(1/2)-2/5)/2} 

x in { (-((704/25)^(1/2)+2/5))/2, ((704/25)^(1/2)-2/5)/2 }

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