(-5/3x-9)+(4/x-3)=5/6

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Solution for (-5/3x-9)+(4/x-3)=5/6 equation:


D( x )

x = 0

x = 0

x = 0

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

(-5/3)*x+4/x-9-3 = 5/6 // - 5/6

(-5/3)*x+4/x-(5/6)-9-3 = 0

(-5/3)*x+4/x-5/6-9-3 = 0

4*x^-1-5/3*x^1-77/6*x^0 = 0

(4*x^0-5/3*x^2-77/6*x^1)/(x^1) = 0 // * x^2

x^1*(4*x^0-5/3*x^2-77/6*x^1) = 0

x^1

(-5/3)*x^2+(-77/6)*x+4 = 0

(-5/3)*x^2+(-77/6)*x+4 = 0

DELTA = (-77/6)^2-(4*4*(-5/3))

DELTA = 6889/36

DELTA > 0

x = ((6889/36)^(1/2)-(-77/6))/(2*(-5/3)) or x = (-(-77/6)-(6889/36)^(1/2))/(2*(-5/3))

x = -8 or x = 3/10

x in { -8, 3/10}

x in { -8, 3/10 }

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