12a/a^2-3a-10

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Solution for 12a/a^2-3a-10 equation:


D( a )

a^2 = 0

a^2 = 0

a^2 = 0

1*a^2 = 0 // : 1

a^2 = 0

a = 0

a in (-oo:0) U (0:+oo)

(12*a)/(a^2)-(3*a)-10 = 0

(12*a)/(a^2)-3*a-10 = 0

12*a^-1-3*a^1-10*a^0 = 0

(12*a^0-3*a^2-10*a^1)/(a^1) = 0 // * a^2

a^1*(12*a^0-3*a^2-10*a^1) = 0

a^1

12-3*a^2-10*a = 0

12-3*a^2-10*a = 0

DELTA = (-10)^2-(-3*4*12)

DELTA = 244

DELTA > 0

a = (244^(1/2)+10)/(-3*2) or a = (10-244^(1/2))/(-3*2)

a = (2*61^(1/2)+10)/(-6) or a = (10-2*61^(1/2))/(-6)

a in { (2*61^(1/2)+10)/(-6), (10-2*61^(1/2))/(-6)}

a in { (2*61^(1/2)+10)/(-6), (10-2*61^(1/2))/(-6) }

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