(z^2+5z+6)/(z^2+5z-14)

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Solution for (z^2+5z+6)/(z^2+5z-14) equation:


D( z )

z^2+5*z-14 = 0

z^2+5*z-14 = 0

z^2+5*z-14 = 0

z^2+5*z-14 = 0

DELTA = 5^2-(-14*1*4)

DELTA = 81

DELTA > 0

z = (81^(1/2)-5)/(1*2) or z = (-81^(1/2)-5)/(1*2)

z = 2 or z = -7

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

(z^2+5*z+6)/(z^2+5*z-14) = 0

z^2+5*z+6 = 0

z^2+5*z+6 = 0

DELTA = 5^2-(1*4*6)

DELTA = 1

DELTA > 0

z = (1^(1/2)-5)/(1*2) or z = (-1^(1/2)-5)/(1*2)

z = -2 or z = -3

(z+3)*(z+2) = 0

z^2+5*z-14 = 0

z^2+5*z-14 = 0

DELTA = 5^2-(-14*1*4)

DELTA = 81

DELTA > 0

z = (81^(1/2)-5)/(1*2) or z = (-81^(1/2)-5)/(1*2)

z = 2 or z = -7

(z+7)*(z-2) = 0

((z+3)*(z+2))/((z+7)*(z-2)) = 0

( z+2 )

z+2 = 0 // - 2

z = -2

( z+3 )

z+3 = 0 // - 3

z = -3

z in { -2, -3 }

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