2a-3/a-3-2=12/a+3

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Solution for 2a-3/a-3-2=12/a+3 equation: 


D( a )

a = 0

a = 0

a = 0

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

2*a-(3/a)-3-2 = 12/a+3 // - 12/a+3

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

2*a-3*a^-1-12*a^-1-3-3-2 = 0

2*a^1-15*a^-1-8*a^0 = 0

(2*a^2-8*a^1-15*a^0)/(a^1) = 0 // * a^2

a^1*(2*a^2-8*a^1-15*a^0) = 0

a^1

2*a^2-8*a-15 = 0

2*a^2-8*a-15 = 0

DELTA = (-8)^2-(-15*2*4)

DELTA = 184

DELTA > 0

a = (184^(1/2)+8)/(2*2) or a = (8-184^(1/2))/(2*2)

a = (2*46^(1/2)+8)/4 or a = (8-2*46^(1/2))/4

a in { (8-2*46^(1/2))/4, (2*46^(1/2)+8)/4} 

a in { (8-2*46^(1/2))/4, (2*46^(1/2)+8)/4 }

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