The area of a square garden in square feet is 49x^2-14x+1. Find the dimensions of the garden in terms of x.
FActor the quadratic:(7x-1)^2
Gee, a square. the dimensions are 7x-1 on each side.
FActor the quadratic:(7x-1)^2
the dimensions are 7x-1 on each side.
Thats a guesstimate i looked it up online and that's the best explantion i got srry
7x+40x+7xy-5yx
Simplify the following expressions
(0,-2),(1,-1),(2,2),(3,7)
To find the dimensions of the square garden in terms of x, we need to factor the quadratic expression 49x^2 - 14x + 1.
The given expression can be factored using the perfect square trinomial pattern: (a^2 - 2ab + b^2) = (a - b)^2.
Applying this pattern to the quadratic expression 49x^2 - 14x + 1, we can rewrite it as (7x)^2 - 2(7x)(1) + 1^2.
This simplifies to (7x - 1)^2, which means the expression is a perfect square trinomial.
Now, since we are dealing with the area of a square garden, the dimensions will be identical on both sides. Thus, the dimensions of the garden in terms of x are (7x - 1) on each side.
Therefore, the garden has a side length of 7x - 1.