Rhett decides to build a square room for his movie and music collection. If the area of the room is 9x2 − 6x + 1 square feet, what is the length of one side of the room?

(3x + 1) feet

(9x − 1) feet

(3x − 1) feet

(9x + 1) feet

Question

Rhett decides to build a square room for his movie and music collection. If the area of the room is 9x2 − 6x + 1 square feet, what is the length of one side of the room?

 (3x + 1) feet

 (9x − 1) feet

 (3x − 1) feet

 (9x + 1) feet

anonymous · Answer

complicated.

pfenn1 · Answer

Area of a square given by $$A=z^2$$where z= length of one side of room.  So if the total area is given by $$9x^2 − 6x + 1=z^2$$Solve for z. Factor the left side of the equation.  Hint: factors are in form of$$ (ax+b)^2 $$