A square has an area expressed as 4x^2-12x+9. What is the side length of each side?
To find the side length of the square, we need to take the square root of the given area.
The area of the square is given by 4x^2 - 12x + 9.
Taking the square root of this expression, we get:
sqrt(4x^2 - 12x + 9)
We can simplify this expression by factoring the quadratic under the square root:
sqrt((2x - 3)^2)
The square root of a perfect square is equal to the square root of the number that was squared. Therefore,
sqrt((2x - 3)^2) = 2x - 3
So, the side length of the square is 2x - 3.