What is 25x^2+9y^2=225 ?

The solution to 25x^2+9y^2=225 is Ellipse with (h,k)=(0,0),a=3,b=5

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25x^2+9y^2=225

25 x^{2} + 9 y^{2} = 225

(h, k) = (0, 0), a = 3, b = 5

Solution steps

25 x^{2} + 9 y^{2} = 225

Rewrite

25 x^{2} + 9 y^{2} = 225

in the form of the standard ellipse equation

\frac{( x - 0 ) ^{2}}{3 ^{2}} + \frac{( y - 0 ) ^{2}}{5 ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (0, 0), a = 3, b = 5

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (0, 0), b = 5, a = 3

\frac{y ^{2}}{64} - \frac{x ^{2}}{9} = 1

x^{2} + 4 y^{2} - 6 x + 16 y + 21 = 0

x^{2} + y^{2} - 6 x + 4 y + 9 = 0

f (x) = x^{2} - 4 x + 3

\frac{( x - h ) ^{2}}{a ^{2}} + \frac{( y - k ) ^{2}}{b ^{2}} = 1

What is 25x^2+9y^2=225 ?
The solution to 25x^2+9y^2=225 is Ellipse with (h,k)=(0,0),a=3,b=5