What is x=(x^2}{16}+\frac{z^2)/9 ?

The solution to x=(x^2}{16}+\frac{z^2)/9 is Ellipse with (h,k)=(8,0),a=8,b=6

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x=(x^2}{16}+\frac{z^2)/9

x = \frac{x ^{2}}{16} + \frac{z ^{2}}{9}

(h, k) = (8, 0), a = 8, b = 6

Solution steps

x = \frac{x ^{2}}{16} + \frac{z ^{2}}{9}

Rewrite

x = \frac{x ^{2}}{16} + \frac{z ^{2}}{9}

in the form of the standard ellipse equation

\frac{( x - 8 ) ^{2}}{8 ^{2}} + \frac{( z - 0 ) ^{2}}{6 ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (8, 0), a = 8, b = 6

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (8, 0), a = 8, b = 6

4 x^{2} + 25 y^{2} + 549 = 72 x + 250 y

y^{2} = 16 - 6 x^{2}

x^{2} + 9 y^{2} = 144

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

12 x^{2} - 22 x + 16 y^{2} = 9

What is x=(x^2}{16}+\frac{z^2)/9 ?
The solution to x=(x^2}{16}+\frac{z^2)/9 is Ellipse with (h,k)=(8,0),a=8,b=6