What is 8x^2+y^2=10 ?

The solution to 8x^2+y^2=10 is Ellipse with (h,k)=(0,0),a=(sqrt(5))/2 ,b=sqrt(10)

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8x^2+y^2=10

8 x^{2} + y^{2} = 10

(h, k) = (0, 0), a = \frac{5}{2}, b = 10

Solution steps

8 x^{2} + y^{2} = 10

Rewrite

8 x^{2} + y^{2} = 10

in the form of the standard ellipse equation

\frac{( x - 0 ) ^{2}}{( \frac{5}{2} ) ^{2}} + \frac{( y - 0 ) ^{2}}{( 10 ) ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (0, 0), a = \frac{5}{2}, b = 10

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (0, 0), b = 10, a = \frac{5}{2}

4 x^{2} + 7 y^{2} = 8

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

49 x^{2} + 64 y^{2} = 25

- 2 x^{2} - 8 x - y^{2} + 16 y = 52

9 x^{2} + 4 y^{2} - 90 x + 32 y + 145 = 0

What is 8x^2+y^2=10 ?
The solution to 8x^2+y^2=10 is Ellipse with (h,k)=(0,0),a=(sqrt(5))/2 ,b=sqrt(10)