(3a-2)=a+41/a+1

Solution for (3a-2)=a+41/a+1 equation:

D( a )

a = 0

a = 0

a = 0

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

3*a-2 = a+41/a+1 // - a+41/a+1

3*a-a-(41/a)-2-1 = 0

3*a-a-41*a^-1-2-1 = 0

2*a^1-41*a^-1-3*a^0 = 0

(2*a^2-3*a^1-41*a^0)/(a^1) = 0 // * a^2

a^1*(2*a^2-3*a^1-41*a^0) = 0

a^1

2*a^2-3*a-41 = 0

2*a^2-3*a-41 = 0

DELTA = (-3)^2-(-41*2*4)

DELTA = 337

DELTA > 0

a = (337^(1/2)+3)/(2*2) or a = (3-337^(1/2))/(2*2)

a = (337^(1/2)+3)/4 or a = (3-337^(1/2))/4

a in { (3-337^(1/2))/4, (337^(1/2)+3)/4} 

a in { (3-337^(1/2))/4, (337^(1/2)+3)/4 }