What is 8x^2+z^2=36 ?

The solution to 8x^2+z^2=36 is Ellipse with (h,k)=(0,0),a= 3/(sqrt(2)),b=6

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8x^2+z^2=36

8 x^{2} + z^{2} = 36

(h, k) = (0, 0), a = \frac{3}{2}, b = 6

Solution steps

8 x^{2} + z^{2} = 36

Rewrite

8 x^{2} + z^{2} = 36

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

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

\frac{( x - 1.23 ) ^{2}}{1.4 1 ^{2}} + \frac{y ^{2}}{1.00 7 ^{2}} = 1

\frac{x ^{2}}{4} + \frac{y ^{2}}{5} = 1

9 x^{(2)} - 54 x + y^{(2)} - 2 y = - 81

\frac{( x - 1 ) ^{2}}{3 ^{2}} + \frac{( y + 3 ) ^{2}}{5 ^{2}} = 1

4 x^{2} + z^{2} = 36

What is 8x^2+z^2=36 ?
The solution to 8x^2+z^2=36 is Ellipse with (h,k)=(0,0),a= 3/(sqrt(2)),b=6