7x+8/6x=5/6+1/x

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Solution for 7x+8/6x=5/6+1/x equation:


D( x )

x = 0

x = 0

x = 0

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

7*x+(8/6)*x = 1/x+5/6 // - 1/x+5/6

7*x+(8/6)*x-(1/x)-(5/6) = 0

7*x+(8/6)*x-x^-1-5/6 = 0

25/3*x^1-1*x^-1-5/6*x^0 = 0

(25/3*x^2-5/6*x^1-1*x^0)/(x^1) = 0 // * x^2

x^1*(25/3*x^2-5/6*x^1-1*x^0) = 0

x^1

(25/3)*x^2+(-5/6)*x-1 = 0

(25/3)*x^2+(-5/6)*x-1 = 0

DELTA = (-5/6)^2-(-1*4*(25/3))

DELTA = 1225/36

DELTA > 0

x = ((1225/36)^(1/2)-(-5/6))/(2*(25/3)) or x = (-(-5/6)-(1225/36)^(1/2))/(2*(25/3))

x = 2/5 or x = -3/10

x in { -3/10, 2/5}

x in { -3/10, 2/5 }

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