The solution to 7x^2+y^2=8 is Ellipse with (h,k)=(0,0),a=(2sqrt(2))/(sqrt(7)),b=2sqrt(2)

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7x^2+y^2=8

Solution

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

(h, k) = (0, 0), a = \frac{2 2}{7}, b = 22

Solution steps

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

Rewrite

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

in the form of the standard ellipse equation

\frac{( x - 0 ) ^{2}}{( \frac{2 2}{7} ) ^{2}} + \frac{( y - 0 ) ^{2}}{( 2 2 ) ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (0, 0), a = \frac{2 2}{7}, b = 22

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (0, 0), b = 22, a = \frac{2 2}{7}

9 x^{2} + 16 y^{2} - 54 x + 32 y - 47 = 0

4 x^{2} + 32 x + 9 y^{2} - 18 y + 37 = 0

x^{2} + 4 y^{2} - 6 x + 40 y + 105 = 0

x, \frac{x ^{2}}{16} + \frac{Y ( x ) ^{2}}{9} = 1

9 (5.66 - 2) x^{2} + y^{2} = 36

What is 7x^2+y^2=8 ?
The solution to 7x^2+y^2=8 is Ellipse with (h,k)=(0,0),a=(2sqrt(2))/(sqrt(7)),b=2sqrt(2)