(9z^2+30z+25)/(9z^2+9z-10)

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Solution for (9z^2+30z+25)/(9z^2+9z-10) equation: 


D( z )

9*z^2+9*z-10 = 0

9*z^2+9*z-10 = 0

9*z^2+9*z-10 = 0

9*z^2+9*z-10 = 0

DELTA = 9^2-(-10*4*9)

DELTA = 441

DELTA > 0

z = (441^(1/2)-9)/(2*9) or z = (-441^(1/2)-9)/(2*9)

z = 2/3 or z = -5/3

z in (-oo:-5/3) U (-5/3:2/3) U (2/3:+oo)

(9*z^2+30*z+25)/(9*z^2+9*z-10) = 0

9*z^2+30*z+25 = 0

9*z^2+30*z+25 = 0

DELTA = 30^2-(4*9*25)

DELTA = 0

z = -30/(2*9)

z = -5/3 or z = -5/3

(z+5/3)^2 = 0

9*z^2+9*z-10 = 0

9*z^2+9*z-10 = 0

DELTA = 9^2-(-10*4*9)

DELTA = 441

DELTA > 0

z = (441^(1/2)-9)/(2*9) or z = (-441^(1/2)-9)/(2*9)

z = 2/3 or z = -5/3

(z+5/3)*(z-2/3) = 0

((z+5/3)^2)/((z+5/3)*(z-2/3)) = 0

z+5/3 = 0 // - 5/3

z = -5/3

z in { -5/3} 

z belongs to the empty set

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