checkers

The area of a square checker board is
25x^2 -40x +16. Find the length of a side.

how do i figure this out?

That equation factorizes as (5x-4)(5x-4), so if the original expression is the area, then one of those two identical factors must represent the side.

so is (5x-4) the actual answer or do I have to factor it further

You won't be able to factor it further, so yes: that's the answer.

thank you

wrong that equals o 25x^2+20x+32

To find the length of a side of a square, we need to determine the square root of the area of the square checkerboard given by the equation 25x^2 - 40x + 16.

Here's how you can figure it out step by step:

Step 1: Start with the area of the square checkerboard, which is given as 25x^2 - 40x + 16.
Step 2: Set the area equal to the formula for the area of a square, which is s^2 (where s represents the side length of the square).

Therefore, we have the equation:
25x^2 - 40x + 16 = s^2

Step 3: Take the square root of both sides of the equation to solve for s (the side length):
√(25x^2 - 40x + 16) = √(s^2)

Step 4: Simplify the equation:
√(25x^2 - 40x + 16) = s

Step 5: The square root of a square is the positive or negative value of the original number, so we have two possible solutions for s:
s1 = √(25x^2 - 40x + 16)
s2 = -√(25x^2 - 40x + 16)

Therefore, the length of one side of the square checkerboard can be expressed as either s1 or s2.

Note: Keep in mind that there may be additional constraints or context in the problem that could impact the solution.