3/4x-2/x=5

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


D( x )

x = 0

x = 0

x = 0

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

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

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

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

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

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

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

x^1

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

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

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

DELTA = 31

DELTA > 0

x = (31^(1/2)+5)/(2*(3/4)) or x = (5-31^(1/2))/(2*(3/4))

x = 2/3*(31^(1/2)+5) or x = 2/3*(5-31^(1/2))

x in { 2/3*(5-31^(1/2)), 2/3*(31^(1/2)+5)}

x in { 2/3*(5-31^(1/2)), 2/3*(31^(1/2)+5) }

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