(t^2+9t+14)/(t^2-81)

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Solution for (t^2+9t+14)/(t^2-81) equation: 


D( t )

t^2-81 = 0

t^2-81 = 0

t^2-81 = 0

1*t^2 = 81 // : 1

t^2 = 81

t^2 = 81 // ^ 1/2

abs(t) = 9

t = 9 or t = -9

t in (-oo:-9) U (-9:9) U (9:+oo)

(t^2+9*t+14)/(t^2-81) = 0

t^2+9*t+14 = 0

t^2+9*t+14 = 0

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

DELTA = 25

DELTA > 0

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

t = -2 or t = -7

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

((t+7)*(t+2))/(t^2-81) = 0

( t+2 )

t+2 = 0 // - 2

t = -2

( t+7 )

t+7 = 0 // - 7

t = -7

t in { -2, -7 }

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