8/x=7/6x+1

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Solution for 8/x=7/6x+1 equation:


D( x )

x = 0

x = 0

x = 0

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

8/x = (7/6)*x+1 // - (7/6)*x+1

8/x-((7/6)*x)-1 = 0

(-7/6)*x+8/x-1 = 0

8*x^-1-7/6*x^1-1*x^0 = 0

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

x^1*(8*x^0-7/6*x^2-1*x^1) = 0

x^1

(-7/6)*x^2-x+8 = 0

(-7/6)*x^2-x+8 = 0

DELTA = (-1)^2-(4*8*(-7/6))

DELTA = 115/3

DELTA > 0

x = ((115/3)^(1/2)+1)/(2*(-7/6)) or x = (1-(115/3)^(1/2))/(2*(-7/6))

x = -3/7*((115/3)^(1/2)+1) or x = -3/7*(1-(115/3)^(1/2))

x in { -3/7*((115/3)^(1/2)+1), -3/7*(1-(115/3)^(1/2))}

x in { -3/7*((115/3)^(1/2)+1), -3/7*(1-(115/3)^(1/2)) }

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