What is x^2+y^2+y^2= 9/4 ?

The solution to x^2+y^2+y^2= 9/4 is Ellipse with (h,k)=(0,0),a= 3/2 ,b= 3/(2sqrt(2))

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x^2+y^2+y^2= 9/4

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

(h, k) = (0, 0), a = \frac{3}{2}, b = \frac{3}{2 2}

Solution steps

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

Rewrite

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

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

(h, k) = (0, 0), a = \frac{3}{2}, b = \frac{3}{2 2}

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (0, 0), a = \frac{3}{2}, b = \frac{3}{2 2}

(x - 0.017)^{2} + (\frac{y ^{2}}{( 0.999 ) ^{2}}) = 1

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

(4 x^{2} - 8 x) + (9 y^{2} - 36 y) = - 4

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

\frac{x ^{2}}{1 ^{2}} + \frac{y ^{2}}{0.4375 ^{2}} = 1

What is x^2+y^2+y^2= 9/4 ?
The solution to x^2+y^2+y^2= 9/4 is Ellipse with (h,k)=(0,0),a= 3/2 ,b= 3/(2sqrt(2))