Answer:
8-x meters
Step-by-step explanation:
Both 64 and x^2 are perfect squares, since 64=(8)^2 and x^2=(x)^2.
Additionally, 16x is twice the product of the roots of 64 and x^2, since 16x=2(8)(x).
So we can use h the square of a difference pattern to factor:
a^2-2(a)(b)+b^2=(a-b)^2
In this case, a=8 and b=x:
(8)^2-2(8)(x)+(x)^2=(8-x)^2
In conclusion...
64-16x+x^2=(8-x)^2
So the side length of the square is 8-x meters.
This is an upwards-opening parabola with a vertex of (2, 0). That +2 moves the vertex up 2 along the y axis. If this is a positive parabola, which it is, then the vertex is a minimum.
Answer:3
Step-by-step explanation:doing the quiz rn
Answer:
2
Step-by-step explanation:
The discriminant is the quantity under the radical in the quadratic formula ...
[tex]x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}[tex]
When that quantity is positive, the square root is real, and the formula gives two real values for x.