What is a^2+15^2=c^2 ?

The solution to a^2+15^2=c^2 is Hyperbola with (h,k)=(0,0),a=15,b=15

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a^2+15^2=c^2

a^{2} + 1 5^{2} = c^{2}

(h, k) = (0, 0), a = 15, b = 15

Solution steps

a^{2} + 1 5^{2} = c^{2}

Rewrite

a^{2} + 1 5^{2} = c^{2}

in the form of a standard hyperbola equation

\frac{( c - 0 ) ^{2}}{1 5 ^{2}} - \frac{( a - 0 ) ^{2}}{1 5 ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = 15, b = 15

9 x^{2} - 72 x - 16 y^{2} - 32 y = 16

16 x^{2} - y^{2} + 16 y - 128 = 0

(\frac{y ^{2}}{4}) - (\frac{x ^{2}}{9}) = 1

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

4 x^{2} + 4 (0)^{2} - z^{2} = 4

What is a^2+15^2=c^2 ?
The solution to a^2+15^2=c^2 is Hyperbola with (h,k)=(0,0),a=15,b=15