How do you solve #3y^2-x^2=25#?
1 Answer
Oct 4, 2016
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Explanation:
Given -
#3x^2+y^2=25#
#x^2/(25/3)+y^2/25=25/25#
#x^2/(25/3)+y^2/25=1#
Equation of the ellipse is -
#x^2/a+y^2/b=1#
Where
#a-># Major axis
#b-> # Minor axis
#a>b#
Then Major axis is along the X-axis
We have to take the bigger value as
In our case, if we take 25 as
Then -
#a^2=25#
#b^2=25/3#
#a=sqrt25=5#
#b=sqrt(25/3)=2.87#
#c^2=a^2-b^2#
#c^2=25-(25/3)=(75-25)/3=50/3#
#c=sqrt(50/3)=4.08#
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