3a+9/a^-1/a=3/a-1

Solution for 3a+9/a^-1/a=3/a-1 equation:

D( a )

a = 0

a^-1 = 0

a = 0

a = 0

a^-1 = 0

a^-1 = 0

1*a^-1 = 0 // : 1

a^-1 = 0

a naleu017Cy do O

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

3*a+(9/(a^-1))/a = 3/a-1 // - 3/a-1

3*a-(3/a)+(9/(a^-1))/a+1 = 0

3*a-3*a^-1+(9/(a^-1))/a+1 = 0

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

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

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

a^1

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

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

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

DELTA = 136

DELTA > 0

a = (136^(1/2)-10)/(2*3) or a = (-136^(1/2)-10)/(2*3)

a = (2*34^(1/2)-10)/6 or a = (-2*34^(1/2)-10)/6

a in { (-2*34^(1/2)-10)/6, (2*34^(1/2)-10)/6} 

a in { (-2*34^(1/2)-10)/6, (2*34^(1/2)-10)/6 }