What is -1/5 =x^2+y^2 ?

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

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-1/5 =x^2+y^2

- \frac{1}{5} = x^{2} + y^{2}

(h, k) = (0, 0), a = \frac{1}{5}, b = \frac{1}{5}

Solution steps

- \frac{1}{5} = x^{2} + y^{2}

Rewrite

- \frac{1}{5} = x^{2} + y^{2}

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

(h, k) = (0, 0), a = \frac{1}{5}, b = \frac{1}{5}

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (0, 0), b = \frac{1}{5}, a = \frac{1}{5}

x^{2} + 5 y^{2} = \frac{1}{2}

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

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

x^{(2)} - 4 x + 3 y^{(2)} = - 2

25 x^{(2)} + 4 y^{(2)} = 84

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