the area of a rectangular swimming pool is 10x^{2}-19x-15. The length of the pool is 5x + 3. Whats the width of the pool?
WRONG!!
(10x^2 - 19x - 15) ÷ (5x + 3) = (2x - 5) , not 10x - 18
AAAaannndd the bot gets it wrong yet again!
well, 10x^2-19x-15 = (5x+3)(2x-5) so ...
To find the width of the pool, we need to divide the area of the pool by its length.
The area of a rectangle is given by the formula: Area = Length * Width.
We are given that the area of the pool is represented by the quadratic expression 10x^2 - 19x - 15, and the length is given as 5x + 3.
So, we can set up the equation:
(5x + 3) * Width = 10x^2 - 19x - 15
To find the width, we need to isolate the variable Width. Divide both sides of the equation by (5x + 3):
Width = (10x^2 - 19x - 15) / (5x + 3)
Now, let's simplify this expression further:
Width = (5x + 3)(2x - 5) / (5x + 3)
Notice that the 5x + 3 terms in the numerator and denominator cancel out, leaving us with:
Width = 2x - 5
Therefore, the width of the rectangular swimming pool is 2x - 5.