The equation of the hyperbola is : 
The center of a hyperbola is located at the origin that means at (0, 0) and one of the focus is at (-50, 0)
As both center and the focus are lying on the x-axis, so the hyperbola is a horizontal hyperbola and the standard equation of horizontal hyperbola when center is at origin:
The distance from center to focus is 'c' and here focus is at (-50,0)
So, c= 50
Now if the distance from center to the directrix line is 'd', then

Here the directrix line is given as : x= 2304/50
Thus, 
⇒ 
⇒ a² = 2304
⇒ a = √2304 = 48
For hyperbola, b² = c² - a²
⇒ b² = 50² - 48² (By plugging c=50 and a = 48)
⇒ b² = 2500 - 2304
⇒ b² = 196
⇒ b = √196 = 14
So, the equation of the hyperbola is : 
Answer:
The answer to your question is: x⁴ + 4x³ + 8x² + 8x - 5
Step-by-step explanation:
(x² + 2x - 1)(x² + 2x + 5) = x⁴ + 2x³ + 5x² + 2x³ + 4x² + 10x - x² - 2x - 5
= x⁴ + 4x³ + 8x² + 8x - 5
9514 1404 393
Answer:
(k -6)
Step-by-step explanation:
The given quadratic is a perfect square, so has one repeated binomial factor:
k^2 -12k +36 = (k -6)^2
There would be 3 and 1/2 pounds left.
2/3 x 2 = 4/6
5/6
5/6 + 4/6 = 6/6 (1) and 3/6 (1/2)