What is ((x^2)/(169))+((y^2)/(144))=1 ?

The solution to ((x^2)/(169))+((y^2)/(144))=1 is Ellipse with (h,k)=(0,0),a=13,b=12

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((x^2)/(169))+((y^2)/(144))=1

(\frac{x ^{2}}{169}) + (\frac{y ^{2}}{144}) = 1

(h, k) = (0, 0), a = 13, b = 12

Solution steps

\frac{x ^{2}}{169} + \frac{y ^{2}}{144} = 1

Rewrite

\frac{x ^{2}}{169} + \frac{y ^{2}}{144} = 1

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

(h, k) = (0, 0), a = 13, b = 12

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (0, 0), a = 13, b = 12

- 8 y^{2} - 10 y + 72 = 9 x^{2}

Y^{2} + 2 X^{2} - 2 Y + 4 X - 6 = 0

8 x^{2} + 8 y^{2} + 16 y = 0

\frac{x ^{2} + 12 x + 36}{100} + \frac{y ^{2}}{64} = 1

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

What is ((x^2)/(169))+((y^2)/(144))=1 ?
The solution to ((x^2)/(169))+((y^2)/(144))=1 is Ellipse with (h,k)=(0,0),a=13,b=12