x-4/x=6/10

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Solution for x-4/x=6/10 equation: 


D( x )

x = 0

x = 0

x = 0

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

x-(4/x) = 6/10 // - 6/10

x-(4/x)-(6/10) = 0

x-4*x^-1-3/5 = 0

1*x^1-4*x^-1-3/5*x^0 = 0

(1*x^2-3/5*x^1-4*x^0)/(x^1) = 0 // * x^2

x^1*(1*x^2-3/5*x^1-4*x^0) = 0

x^1

x^2+(-3/5)*x-4 = 0

x^2+(-3/5)*x-4 = 0

DELTA = (-3/5)^2-(-4*1*4)

DELTA = 409/25

DELTA > 0

x = ((409/25)^(1/2)-(-3/5))/(1*2) or x = (-(-3/5)-(409/25)^(1/2))/(1*2)

x = ((409/25)^(1/2)+3/5)/2 or x = (3/5-(409/25)^(1/2))/2

x in { (3/5-(409/25)^(1/2))/2, ((409/25)^(1/2)+3/5)/2} 

x in { (3/5-(409/25)^(1/2))/2, ((409/25)^(1/2)+3/5)/2 }

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