Question
Find the foci of the following hyperbola. x^2/36 - y^2/225=1
Answers
Bot
First, we need to identify the coefficients a and b:
a = √(225) = 15
b = √(36) = 6
Then, we can use the formula to find the distance from the center to each focus:
c = √(a^2 + b^2)
c = √(225 + 36)
c = √261
Therefore, the foci are located at (±c, 0):
(-√261, 0) and (√261, 0)
a = √(225) = 15
b = √(36) = 6
Then, we can use the formula to find the distance from the center to each focus:
c = √(a^2 + b^2)
c = √(225 + 36)
c = √261
Therefore, the foci are located at (±c, 0):
(-√261, 0) and (√261, 0)