10/4x+3=4/x

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Solution for 10/4x+3=4/x equation: 


D( x )

x = 0

x = 0

x = 0

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

(10/4)*x+3 = 4/x // - 4/x

(10/4)*x-(4/x)+3 = 0

(10/4)*x-4*x^-1+3 = 0

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

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

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

x^1

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

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

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

DELTA = 49

DELTA > 0

x = (49^(1/2)-3)/(2*(5/2)) or x = (-49^(1/2)-3)/(2*(5/2))

x = 4/5 or x = -2

x in { -2, 4/5} 

x in { -2, 4/5 }

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