SOLUTION: Find the eccentricity and the length of the latus rectum of each given hyperbola. b. 36y^2-25x^=900

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Question 1191094: Find the eccentricity and the length of the latus rectum of each given hyperbola.
b. 36y^2-25x^=900
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

36y%5E2-25x%5E2=900......divide both sides by 900

36y%5E2%2F900-25x%5E2%2F900=900%2F900

y%5E2%2F25-x%5E2%2F36=1+-> a%5E2=25, b%5E2=36

=> a=5, b=6

the length of the latus rectum is 2b%5E2%2Fa

so, 2b%5E2%2Fa=%282%2A36%29%2F5=72%2F5=14.4