What is (x^2)/(169)+(y^2)/(25)=1 ?

The solution to (x^2)/(169)+(y^2)/(25)=1 is Ellipse with (h,k)=(0,0),a=13,b=5

Popular >

(x^2)/(169)+(y^2)/(25)=1

\frac{x ^{2}}{169} + \frac{y ^{2}}{25} = 1

(h, k) = (0, 0), a = 13, b = 5

Solution steps

\frac{x ^{2}}{169} + \frac{y ^{2}}{25} = 1

Rewrite

\frac{x ^{2}}{169} + \frac{y ^{2}}{25} = 1

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

(h, k) = (0, 0), a = 13, b = 5

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (0, 0), a = 13, b = 5

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

2 x^{2} - 6 x + 2 y^{2} + 2 y = 45

x^{2} - y^{2} = 6

f (x) = x^{2} + 4 x + 1

\frac{x ^{2}}{9} - \frac{y ^{2}}{25} = 1

What is (x^2)/(169)+(y^2)/(25)=1 ?
The solution to (x^2)/(169)+(y^2)/(25)=1 is Ellipse with (h,k)=(0,0),a=13,b=5