5x-2/x=4

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Solution for 5x-2/x=4 equation:


D( x )

x = 0

x = 0

x = 0

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

5*x-(2/x) = 4 // - 4

5*x-(2/x)-4 = 0

5*x-2*x^-1-4 = 0

5*x^1-2*x^-1-4*x^0 = 0

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

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

x^1

5*x^2-4*x-2 = 0

5*x^2-4*x-2 = 0

DELTA = (-4)^2-(-2*4*5)

DELTA = 56

DELTA > 0

x = (56^(1/2)+4)/(2*5) or x = (4-56^(1/2))/(2*5)

x = (2*14^(1/2)+4)/10 or x = (4-2*14^(1/2))/10

x in { (4-2*14^(1/2))/10, (2*14^(1/2)+4)/10}

x in { (4-2*14^(1/2))/10, (2*14^(1/2)+4)/10 }

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