What is (x^2)/(256)+(y^2)/(400)=2 ?

The solution to (x^2)/(256)+(y^2)/(400)=2 is Ellipse with (h,k)=(0,0),a=16sqrt(2),b=20sqrt(2)

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(x^2)/(256)+(y^2)/(400)=2

\frac{x ^{2}}{256} + \frac{y ^{2}}{400} = 2

(h, k) = (0, 0), a = 162, b = 202

Solution steps

\frac{x ^{2}}{256} + \frac{y ^{2}}{400} = 2

Rewrite

\frac{x ^{2}}{256} + \frac{y ^{2}}{400} = 2

in the form of the standard ellipse equation

\frac{( x - 0 ) ^{2}}{( 16 2 ) ^{2}} + \frac{( y - 0 ) ^{2}}{( 20 2 ) ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (0, 0), a = 162, b = 202

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (0, 0), b = 202, a = 162

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- X^{2} - 4 = Y^{2}

8 y^{2} = - \frac{9}{2} x^{2} + \frac{25}{2}

x^{2} + 3 y^{2} = 28

What is (x^2)/(256)+(y^2)/(400)=2 ?
The solution to (x^2)/(256)+(y^2)/(400)=2 is Ellipse with (h,k)=(0,0),a=16sqrt(2),b=20sqrt(2)