5/x+2+3/4x-1=5

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Solution for 5/x+2+3/4x-1=5 equation: 


D( x )

x = 0

x = 0

x = 0

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

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

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

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

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

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

x^1

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

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

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

DELTA = 1

DELTA > 0

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

x = 10/3 or x = 2

x in { 2, 10/3} 

x in { 2, 10/3 }

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