5/4x+1/x=3

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


D( x )

x = 0

x = 0

x = 0

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

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

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

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

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

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

x^1

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

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

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

DELTA = 4

DELTA > 0

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

x = 2 or x = 2/5

x in { 2/5, 2} 

x in { 2/5, 2 }

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