What is (-6)/4 =(x^2)/1+(y^2)/1 ?

The solution to (-6)/4 =(x^2)/1+(y^2)/1 is Ellipse with (h,k)=(0,0),a=sqrt(3/2),b=sqrt(3/2)

Popular >

(-6)/4 =(x^2)/1+(y^2)/1

\frac{- 6}{4} = \frac{x ^{2}}{1} + \frac{y ^{2}}{1}

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

Solution steps

\frac{- 6}{4} = \frac{x ^{2}}{1} + \frac{y ^{2}}{1}

Rewrite

\frac{- 6}{4} = \frac{x ^{2}}{1} + \frac{y ^{2}}{1}

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

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

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

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

\frac{( x - 3 ) ^{2}}{16} + \frac{( y + 2 ) ^{2}}{25} = 1

9 x^{2} + 25 y^{2} - 54 x + 100 y - 44 = 0

2 x^{2} - 8 x + y^{2} - 6 y + 7 = 0

3 x^{2} + 2 y^{2} - 12 x + 6 y - 10 = 0

4.14 x^{2} + 3.92 y^{2} - 41.82 x - 82.62 y + 78 = 0

What is (-6)/4 =(x^2)/1+(y^2)/1 ?
The solution to (-6)/4 =(x^2)/1+(y^2)/1 is Ellipse with (h,k)=(0,0),a=sqrt(3/2),b=sqrt(3/2)