Find all fixed points for the function by setting the function equal to x and solving the resulting equation for x.
-The length of a room is 8 feet more than the width. The room has a floor area of 425 square feet. Find the dimensions of the room.
A) Length: 33 feet; Width: 25 feet
B) Length: 28 feet; Width: 20 feet
C) Length: 17 feet; Width: 9 feet
D) Length: 25 feet; Width: 17 feet

Question

Quizplus · Accepted Answer

The equation for the area of the room is $x(x + 8) = 425$, where $x$ is the width and $x + 8$ is the length. Solving this quadratic equation, we find that $x = 17$ is a solution, making the width 17 feet and the length $17 + 8 = 25$ feet.

Find All Fixed Points for the Function by Setting the Function