What is (x^2)/4+(y^2)/8 = 3/4 ?

The solution to (x^2)/4+(y^2)/8 = 3/4 is Ellipse with (h,k)=(0,0),a=sqrt(3),b=sqrt(6)

Popular >

(x^2)/4+(y^2)/8 = 3/4

\frac{x ^{2}}{4} + \frac{y ^{2}}{8} = \frac{3}{4}

(h, k) = (0, 0), a = 3, b = 6

Solution steps

\frac{x ^{2}}{4} + \frac{y ^{2}}{8} = \frac{3}{4}

Rewrite

\frac{x ^{2}}{4} + \frac{y ^{2}}{8} = \frac{3}{4}

in the form of the standard ellipse equation

\frac{( x - 0 ) ^{2}}{( 3 ) ^{2}} + \frac{( y - 0 ) ^{2}}{( 6 ) ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (0, 0), a = 3, b = 6

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (0, 0), b = 6, a = 3

\frac{( x - 5 ) ^{2}}{9} + \frac{( y - 4 ) ^{2}}{25} = 1

\frac{( x - 5 ) ^{2}}{4} + \frac{( y + 2 ) ^{2}}{9} = 1

\frac{x ^{2}}{12} + \frac{y ^{2}}{25} = 1

1 x^{2} + 3 y^{2} + 10 x + 10 y - 11 = 0

16 x^{(2)} + 25 y^{(2)} = 400

What is (x^2)/4+(y^2)/8 = 3/4 ?
The solution to (x^2)/4+(y^2)/8 = 3/4 is Ellipse with (h,k)=(0,0),a=sqrt(3),b=sqrt(6)