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Popular >

x^2+2y^2=3

Solution

x^{2} + 2 y^{2} = 3

Solution

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

Solution steps

x^{2} + 2 y^{2} = 3

Rewrite

x^{2} + 2 y^{2} = 3

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

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

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

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

Popular Examples

vertices f(x)=-x^2-2x+2 vertices

f (x) = - x^{2} - 2 x + 2

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

foci 4x^2+9y^2=36 foci

4 x^{2} + 9 y^{2} = 36

3x^2+2y^2+6x-4y+5=18

3 x^{2} + 2 y^{2} + 6 x - 4 y + 5 = 18

vertices f(x)=x^2+8x+15 vertices

f (x) = x^{2} + 8 x + 15

Frequently Asked Questions (FAQ)

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