What is 1=(x^2)/4+(y^2)/9 ?

The solution to 1=(x^2)/4+(y^2)/9 is Ellipse with (h,k)=(0,0),a=2,b=3

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1=(x^2)/4+(y^2)/9

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

(h, k) = (0, 0), a = 2, b = 3

Solution steps

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

Rewrite

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

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

(h, k) = (0, 0), a = 2, b = 3

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (0, 0), b = 3, a = 2

28 x^{2} + 64 y^{2} - 84 x - 49 = 0

9 x^{2} + 4 y^{2} - 36 x - 24 y + 36 = 0

9 x^{2} + 25 y^{2} - 54 x - 100 y - 44 = 0

\frac{( x ^{2} - 4 x )}{4} + \frac{( y ^{2} - 6 y )}{9} = - 1

2 x^{2} + 4 y^{2} + 10 x + 8 y - 9 = 0

What is 1=(x^2)/4+(y^2)/9 ?
The solution to 1=(x^2)/4+(y^2)/9 is Ellipse with (h,k)=(0,0),a=2,b=3