x/4+3/x=7/4

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Solution for x/4+3/x=7/4 equation: 


D( x )

x = 0

x = 0

x = 0

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

x/4+3/x = 7/4 // - 7/4

x/4+3/x-(7/4) = 0

x/4+3/x-7/4 = 0

1/4*x^1+3*x^-1-7/4*x^0 = 0

(1/4*x^2-7/4*x^1+3*x^0)/(x^1) = 0 // * x^2

x^1*(1/4*x^2-7/4*x^1+3*x^0) = 0

x^1

(1/4)*x^2+(-7/4)*x+3 = 0

(1/4)*x^2+(-7/4)*x+3 = 0

DELTA = (-7/4)^2-(3*4*(1/4))

DELTA = 1/16

DELTA > 0

x = ((1/16)^(1/2)-(-7/4))/(2*(1/4)) or x = (-(-7/4)-(1/16)^(1/2))/(2*(1/4))

x = 4 or x = 3

x in { 3, 4} 

x in { 3, 4 }

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