-1/4u-8+1=5/u-2

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Solution for -1/4u-8+1=5/u-2 equation: 


D( u )

u = 0

u = 0

u = 0

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

(-1/4)*u-8+1 = 5/u-2 // - 5/u-2

(-1/4)*u-(5/u)-8+1+2 = 0

(-1/4)*u-5*u^-1-8+1+2 = 0

-1/4*u^1-5*u^-1-5*u^0 = 0

(-1/4*u^2-5*u^1-5*u^0)/(u^1) = 0 // * u^2

u^1*(-1/4*u^2-5*u^1-5*u^0) = 0

u^1

(-1/4)*u^2-5*u-5 = 0

(-1/4)*u^2-5*u-5 = 0

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

DELTA = 20

DELTA > 0

u = (20^(1/2)+5)/(2*(-1/4)) or u = (5-20^(1/2))/(2*(-1/4))

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

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

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

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