What is 2400^2x^2=460^2(x^2+z^2+36) ?

The solution to 2400^2x^2=460^2(x^2+z^2+36) is Hyperbola with (h,k)=(0,0),a=(138)/(sqrt(13871)),b=6

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2400^2x^2=460^2(x^2+z^2+36)

240 0^{2} x^{2} = 46 0^{2} (x^{2} + z^{2} + 36)

(h, k) = (0, 0), a = \frac{138}{13871}, b = 6

Solution steps

240 0^{2} x^{2} = 46 0^{2} (x^{2} + z^{2} + 36)

Rewrite

240 0^{2} x^{2} - 46 0^{2} (x^{2} + z^{2} + 36) = 0

in the form of a standard hyperbola equation

\frac{( x - 0 ) ^{2}}{( \frac{138}{13871} ) ^{2}} - \frac{( z - 0 ) ^{2}}{6 ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = \frac{138}{13871}, b = 6

24 = a^{2} - b^{2}

9 x^{2} - 25 y^{2} + 200 y = 625

f (x) (f (x)) = x^{2} + \frac{1}{4}

\frac{( y + 2 ) ^{2}}{30} - \frac{( x - 1 ) ^{2}}{8} = 1

- 2 x^{2} + y^{2} - 4 = 0

What is 2400^2x^2=460^2(x^2+z^2+36) ?
The solution to 2400^2x^2=460^2(x^2+z^2+36) is Hyperbola with (h,k)=(0,0),a=(138)/(sqrt(13871)),b=6