(-1/u+6)=(6/5u+30)+1

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Solution for (-1/u+6)=(6/5u+30)+1 equation: 


D( u )

u = 0

u = 0

u = 0

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

6-1/u = (6/5)*u+1+30 // - (6/5)*u+1+30

6-((6/5)*u)-1/u-30-1 = 0

(-6/5)*u-1/u-30-1+6 = 0

-6/5*u^1-1*u^-1-25*u^0 = 0

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

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

u^1

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

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

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

DELTA = 3101/5

DELTA > 0

u = ((3101/5)^(1/2)+25)/(2*(-6/5)) or u = (25-(3101/5)^(1/2))/(2*(-6/5))

u = -5/12*((3101/5)^(1/2)+25) or u = -5/12*(25-(3101/5)^(1/2))

u in { -5/12*((3101/5)^(1/2)+25), -5/12*(25-(3101/5)^(1/2))} 

u in { -5/12*((3101/5)^(1/2)+25), -5/12*(25-(3101/5)^(1/2)) }

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