12/r-1/21r=r-8/3

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Solution for 12/r-1/21r=r-8/3 equation:


D( r )

r = 0

r = 0

r = 0

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

12/r-((1/21)*r) = r-(8/3) // - r-(8/3)

12/r-((1/21)*r)-r+8/3 = 0

(-1/21)*r-r+12/r+8/3 = 0

12*r^-1-22/21*r^1+8/3*r^0 = 0

(8/3*r^1-22/21*r^2+12*r^0)/(r^1) = 0 // * r^2

r^1*(8/3*r^1-22/21*r^2+12*r^0) = 0

r^1

(-22/21)*r^2+(8/3)*r+12 = 0

(-22/21)*r^2+(8/3)*r+12 = 0

DELTA = (8/3)^2-(4*12*(-22/21))

DELTA = 3616/63

DELTA > 0

r = ((3616/63)^(1/2)-(8/3))/(2*(-22/21)) or r = (-(8/3)-(3616/63)^(1/2))/(2*(-22/21))

r = -21/44*((3616/63)^(1/2)-8/3) or r = 21/44*((3616/63)^(1/2)+8/3)

r in { -21/44*((3616/63)^(1/2)-8/3), 21/44*((3616/63)^(1/2)+8/3)}

r in { -21/44*((3616/63)^(1/2)-8/3), 21/44*((3616/63)^(1/2)+8/3) }

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