(6u^2-96)/(u^2+11u+28)

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Solution for (6u^2-96)/(u^2+11u+28) equation: 


D( u )

u^2+11*u+28 = 0

u^2+11*u+28 = 0

u^2+11*u+28 = 0

u^2+11*u+28 = 0

DELTA = 11^2-(1*4*28)

DELTA = 9

DELTA > 0

u = (9^(1/2)-11)/(1*2) or u = (-9^(1/2)-11)/(1*2)

u = -4 or u = -7

u in (-oo:-7) U (-7:-4) U (-4:+oo)

(6*u^2-96)/(u^2+11*u+28) = 0

u^2+11*u+28 = 0

u^2+11*u+28 = 0

DELTA = 11^2-(1*4*28)

DELTA = 9

DELTA > 0

u = (9^(1/2)-11)/(1*2) or u = (-9^(1/2)-11)/(1*2)

u = -4 or u = -7

(u+7)*(u+4) = 0

(6*u^2-96)/((u+7)*(u+4)) = 0

6*u^2 = 96 // : 6

u^2 = 16

u^2 = 16 // ^ 1/2

abs(u) = 4

u = 4 or u = -4

u in { -4} 

u = 4

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