(4u^2-16)/(u^2+9u+14)

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Solution for (4u^2-16)/(u^2+9u+14) equation: 


D( u )

u^2+9*u+14 = 0

u^2+9*u+14 = 0

u^2+9*u+14 = 0

u^2+9*u+14 = 0

DELTA = 9^2-(1*4*14)

DELTA = 25

DELTA > 0

u = (25^(1/2)-9)/(1*2) or u = (-25^(1/2)-9)/(1*2)

u = -2 or u = -7

u in (-oo:-7) U (-7:-2) U (-2:+oo)

(4*u^2-16)/(u^2+9*u+14) = 0

u^2+9*u+14 = 0

u^2+9*u+14 = 0

DELTA = 9^2-(1*4*14)

DELTA = 25

DELTA > 0

u = (25^(1/2)-9)/(1*2) or u = (-25^(1/2)-9)/(1*2)

u = -2 or u = -7

(u+7)*(u+2) = 0

(4*u^2-16)/((u+7)*(u+2)) = 0

4*u^2 = 16 // : 4

u^2 = 4

u^2 = 4 // ^ 1/2

abs(u) = 2

u = 2 or u = -2

u in { -2} 

u = 2

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