What is 100x^2+64y^2=1600 ?

The solution to 100x^2+64y^2=1600 is Ellipse with (h,k)=(0,0),a=4,b=5

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100x^2+64y^2=1600

100 x^{2} + 64 y^{2} = 1600

(h, k) = (0, 0), a = 4, b = 5

Solution steps

100 x^{2} + 64 y^{2} = 1600

Rewrite

100 x^{2} + 64 y^{2} = 1600

in the form of the standard ellipse equation

\frac{( x - 0 ) ^{2}}{4 ^{2}} + \frac{( y - 0 ) ^{2}}{5 ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (0, 0), a = 4, 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 = 4

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

\frac{( x - 5 ) ^{2}}{9} + \frac{( y - 3 ) ^{2}}{4} = 1

x^{2} + 4 z^{2} = 16

5 x^{2} + 2 y^{2} = 5

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

What is 100x^2+64y^2=1600 ?
The solution to 100x^2+64y^2=1600 is Ellipse with (h,k)=(0,0),a=4,b=5