What is 4x^2+5y^2=445 ?

The solution to 4x^2+5y^2=445 is Ellipse with (h,k)=(0,0),a=(sqrt(445))/2 ,b=sqrt(89)

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4x^2+5y^2=445

4 x^{2} + 5 y^{2} = 445

(h, k) = (0, 0), a = \frac{445}{2}, b = 89

Solution steps

4 x^{2} + 5 y^{2} = 445

Rewrite

4 x^{2} + 5 y^{2} = 445

in the form of the standard ellipse equation

\frac{( x - 0 ) ^{2}}{( \frac{445}{2} ) ^{2}} + \frac{( y - 0 ) ^{2}}{( 89 ) ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (0, 0), a = \frac{445}{2}, b = 89

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (0, 0), a = \frac{445}{2}, b = 89

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(\frac{x + 2}{4})^{2} + (\frac{y - 3}{16})^{2} = 1

4 x^{2} + 9 y^{2} = 2 x

x^{2} + 4 x + 4 y^{2} = 0

What is 4x^2+5y^2=445 ?
The solution to 4x^2+5y^2=445 is Ellipse with (h,k)=(0,0),a=(sqrt(445))/2 ,b=sqrt(89)