4/5x=3/x+2

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


D( x )

x = 0

x = 0

x = 0

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

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

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

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

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

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

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

x^1

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

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

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

DELTA = 68/5

DELTA > 0

x = ((68/5)^(1/2)+2)/(2*(4/5)) or x = (2-(68/5)^(1/2))/(2*(4/5))

x = 5/8*((68/5)^(1/2)+2) or x = 5/8*(2-(68/5)^(1/2))

x in { 5/8*(2-(68/5)^(1/2)), 5/8*((68/5)^(1/2)+2)}

x in { 5/8*(2-(68/5)^(1/2)), 5/8*((68/5)^(1/2)+2) }

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