I think the answer is 406/81.
The correct quadratic equation;
x2+7x-2=0
Working
Assuming the frame has a uniform thickness;
Then length of mirror and frame is 3+x and width 2+x
The area of mirror and frame area;
A=L*W
8=(3+x)(2+x)
8=(6+5x+x2)
Taking 8 to the Right hand side, we have:
x2+5x-2 =0
Try this solution:

PS. √17≈4.1231056256176605498214098559741.
Looking at the problem statement, this question states for us to determine the range of the function that is provided in a graph is. Let us first determine what range is.
- Range ⇒ Range is what y-values can be used in the function that is graphed. For example, if a line just goes up and down all the way to negative and positive infinity, then the range would be negative infinity to positive infinity as it includes all of the y-values in it's solutions.
Now moving back to our problem, we can see that we have a vertex at (2, -5) and that the lowest y-values is at y = -5. Therefore the y-values would be anything greater than or equal to -5 and less than infinity because the lines go forever up in the positive-y-direction.
Therefore, the option that would best match the description that we provided would be option B, -5 ≤ y < ∞.