What is (x^2)/(25)+(y^2)/(39)=1 ?

The solution to (x^2)/(25)+(y^2)/(39)=1 is Ellipse with (h,k)=(0,0),a=5,b=sqrt(39)

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(x^2)/(25)+(y^2)/(39)=1

\frac{x ^{2}}{25} + \frac{y ^{2}}{39} = 1

(h, k) = (0, 0), a = 5, b = 39

Solution steps

\frac{x ^{2}}{25} + \frac{y ^{2}}{39} = 1

Rewrite

\frac{x ^{2}}{25} + \frac{y ^{2}}{39} = 1

in the form of the standard ellipse equation

\frac{( x - 0 ) ^{2}}{5 ^{2}} + \frac{( y - 0 ) ^{2}}{( 39 ) ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (0, 0), a = 5, b = 39

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (0, 0), b = 39, a = 5

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

\frac{( x - 81 ) ^{2}}{6 4 ^{2}} + \frac{( y - 64 ) ^{2}}{8 1 ^{2}} = 1

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

x, 2^{2} = h (x)^{2} + (\frac{x}{2})^{2}

4 x^{2} + y^{2} \leq 17

What is (x^2)/(25)+(y^2)/(39)=1 ?
The solution to (x^2)/(25)+(y^2)/(39)=1 is Ellipse with (h,k)=(0,0),a=5,b=sqrt(39)