What is 36X^2+25Y^2=900 ?

The solution to 36X^2+25Y^2=900 is Ellipse with (h,k)=(0,0),a=5,b=6

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36X^2+25Y^2=900

36 X^{2} + 25 Y^{2} = 900

(h, k) = (0, 0), a = 5, b = 6

Solution steps

36 X^{2} + 25 Y^{2} = 900

Rewrite

36 X^{2} + 25 Y^{2} = 900

in the form of the standard ellipse equation

\frac{( X - 0 ) ^{2}}{5 ^{2}} + \frac{( Y - 0 ) ^{2}}{6 ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (0, 0), a = 5, b = 6

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (0, 0), b = 6, a = 5

\frac{( x - 0 ) ^{2}}{2 ^{2}} + \frac{( y - ( - 3 ) ) ^{2}}{4 ^{2}} = 1

x^{2} + \frac{( y - 1 ) ^{2}}{4} = 1

1 x^{2} + 3 y^{2} + 8 x + 9 y - 14 = 0

\frac{x ^{2}}{4} + \frac{y ^{2}}{9} = 3

2 x^{2} + y^{2} + x + y = 0

What is 36X^2+25Y^2=900 ?
The solution to 36X^2+25Y^2=900 is Ellipse with (h,k)=(0,0),a=5,b=6