a-6/a-3=-3/2

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Solution for a-6/a-3=-3/2 equation: 


D( a )

a = 0

a = 0

a = 0

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

a-(6/a)-3 = -3/2 // + -3/2

a-(6/a)-(-3/2)-3 = 0

a-6*a^-1+3/2-3 = 0

1*a^1-6*a^-1-3/2*a^0 = 0

(1*a^2-3/2*a^1-6*a^0)/(a^1) = 0 // * a^2

a^1*(1*a^2-3/2*a^1-6*a^0) = 0

a^1

a^2+(-3/2)*a-6 = 0

a^2+(-3/2)*a-6 = 0

DELTA = (-3/2)^2-(-6*1*4)

DELTA = 105/4

DELTA > 0

a = ((105/4)^(1/2)-(-3/2))/(1*2) or a = (-(-3/2)-(105/4)^(1/2))/(1*2)

a = ((105/4)^(1/2)+3/2)/2 or a = (3/2-(105/4)^(1/2))/2

a in { (3/2-(105/4)^(1/2))/2, ((105/4)^(1/2)+3/2)/2} 

a in { (3/2-(105/4)^(1/2))/2, ((105/4)^(1/2)+3/2)/2 }

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