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.