Answer:

Step-by-step explanation:
We are given:

Factor:

Difference of Two Squares:

Zero Product Property:

Solve:

Take the square root. Since we are taking an even-root, it requires plus/minus:

½(x+10) = ¼(x+54)
Solving it
x/2 + 5 = x/4 + 13.5
x/2 - x/4 = 13.5 - 5
x/4 = 8.5
x = 8.5 × 4 = 34
Answer:
Step-by-step explanation:
Let's x be the length of the side that is NOT the same as the side along the river (or in opposite). From the fencing perimeter of 2200ft we can calculate the other side y of the rectangular:
y = 2200 - 2x
The area A of the pen would be the product of the 2 sides
X=-1
-1x2 + 5x-1 +7 = 0
-7+7 =0
0=0
With every imaginary term, there are 2 complex conjugates with opposing signs. So if I had the term a+bi, the complex conjugate would be a-bi. So given your example of -1+4i, the complex conjugate would just be the opposite sign, now negative, to get -1-4i.