What is 25x^2+81y^2=2025 ?

The solution to 25x^2+81y^2=2025 is Ellipse with (h,k)=(0,0),a=9,b=5

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25x^2+81y^2=2025

25 x^{2} + 81 y^{2} = 2025

(h, k) = (0, 0), a = 9, b = 5

Solution steps

25 x^{2} + 81 y^{2} = 2025

Rewrite

25 x^{2} + 81 y^{2} = 2025

in the form of the standard ellipse equation

\frac{( x - 0 ) ^{2}}{9 ^{2}} + \frac{( y - 0 ) ^{2}}{5 ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (0, 0), a = 9, b = 5

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (0, 0), a = 9, b = 5

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

\frac{( x - 2 ) ^{2}}{20} + \frac{y ^{2}}{36} = 1

6 x^{2} + 9 y^{2} - 18 y - 45 = 0

\frac{( X - 1 ) ^{2}}{4} + \frac{( Y + 2 ) ^{2}}{16} = 1

4 x^{2} + 25 y^{2} - 50 y = 75

What is 25x^2+81y^2=2025 ?
The solution to 25x^2+81y^2=2025 is Ellipse with (h,k)=(0,0),a=9,b=5