Need help on how to solve this problem!!!

Question

Solve for :

      

The lower (or only) solution for this equation is    

The higher solution for this equation is    

The solution     is an extraneous solution (if any).

(Fill in each with an integer or a rational number or the word "none" or "n/a" with no capital letters or quotation marks.)

Answer 1

After raising each side of the equation to the third power,

5 - 11x = 27. Subtract 5 from each side of the equation,

- 11x = 22. Divide both sides of the equation by - 11 to get

x = - 2

This is the only solution, no extraneous roots.

Anita A.

Answer 2

to solve for x, first cube each side of the equation:

((5-11x)^1/3)^3=3^3

now the cube root and cube on the left hand size effectively cancel each other out, leaving:

5-11x=27

Now solve for x, by first subtracting 5 from each side:

5-5-11x = 27-5

-11x=22

Divide each side of equation by -11:

-11x/-11=22/-11

leaving: x=-2, as the only solution