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

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

Popular >

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

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

(h, k) = (0, 0), a = \frac{1}{2}, b = 1

Solution steps

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

Rewrite

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

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

(h, k) = (0, 0), a = \frac{1}{2}, b = 1

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (0, 0), b = 1, a = \frac{1}{2}

x^{2} + 4 y^{2} + 9 x + 9 y - 15 = 0

4 x^{2} + 16 y^{2} - 8 x + 96 y + 84 = 0

\frac{x ^{2}}{9} + \frac{2 x}{9} + y^{2} - 6 y + 9 = 0

5 x^{2} + 2 y^{2} = 45

\frac{( x + 3 ) ^{2}}{12} + \frac{( y - 2 ) ^{2}}{16} = 1

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