2/x+3=7/6x-2

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Solution for 2/x+3=7/6x-2 equation:


D( x )

x = 0

x = 0

x = 0

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

2/x+3 = (7/6)*x-2 // - (7/6)*x-2

2/x-((7/6)*x)+2+3 = 0

(-7/6)*x+2/x+2+3 = 0

2*x^-1-7/6*x^1+5*x^0 = 0

(5*x^1-7/6*x^2+2*x^0)/(x^1) = 0 // * x^2

x^1*(5*x^1-7/6*x^2+2*x^0) = 0

x^1

(-7/6)*x^2+5*x+2 = 0

(-7/6)*x^2+5*x+2 = 0

DELTA = 5^2-(2*4*(-7/6))

DELTA = 103/3

DELTA > 0

x = ((103/3)^(1/2)-5)/(2*(-7/6)) or x = (-(103/3)^(1/2)-5)/(2*(-7/6))

x = -3/7*((103/3)^(1/2)-5) or x = 3/7*((103/3)^(1/2)+5)

x in { -3/7*((103/3)^(1/2)-5), 3/7*((103/3)^(1/2)+5)}

x in { -3/7*((103/3)^(1/2)-5), 3/7*((103/3)^(1/2)+5) }

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