(u^2+u-6)/(8-2u^2)

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Solution for (u^2+u-6)/(8-2u^2) equation: 


D( u )

8-(2*u^2) = 0

8-(2*u^2) = 0

8-(2*u^2) = 0

8-2*u^2 = 0

-2*u^2 = -8 // : -2

u^2 = 4

u^2 = 4 // ^ 1/2

abs(u) = 2

u = 2 or u = -2

u in (-oo:-2) U (-2:2) U (2:+oo)

(u^2+u-6)/(8-(2*u^2)) = 0

(u^2+u-6)/(8-2*u^2) = 0

u^2+u-6 = 0

u^2+u-6 = 0

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

DELTA = 25

DELTA > 0

u = (25^(1/2)-1)/(1*2) or u = (-25^(1/2)-1)/(1*2)

u = 2 or u = -3

(u+3)*(u-2) = 0

((u+3)*(u-2))/(8-2*u^2) = 0

( u+3 )

u+3 = 0 // - 3

u = -3

( u-2 )

u-2 = 0 // + 2

u = 2

u in { 2} 

u = -3

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