-1/2u+6+4=6/u+3

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Solution for -1/2u+6+4=6/u+3 equation:


D( u )

u = 0

u = 0

u = 0

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

(-1/2)*u+4+6 = 6/u+3 // - 6/u+3

(-1/2)*u-(6/u)-3+4+6 = 0

(-1/2)*u-6*u^-1-3+4+6 = 0

7*u^0-1/2*u^1-6*u^-1 = 0

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

u^1*(7*u^1-1/2*u^2-6*u^0) = 0

u^1

(-1/2)*u^2+7*u-6 = 0

(-1/2)*u^2+7*u-6 = 0

DELTA = 7^2-(-6*4*(-1/2))

DELTA = 37

DELTA > 0

u = (37^(1/2)-7)/(2*(-1/2)) or u = (-37^(1/2)-7)/(2*(-1/2))

u = 7-37^(1/2) or u = 37^(1/2)+7

u in { 7-37^(1/2), 37^(1/2)+7}

u in { 7-37^(1/2), 37^(1/2)+7 }

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