What is (x^2)/(289)-((y-70)^2)/(1600)=1 ?

The solution to (x^2)/(289)-((y-70)^2)/(1600)=1 is Hyperbola with (h,k)=(0,70),a=17,b=40

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(x^2)/(289)-((y-70)^2)/(1600)=1

\frac{x ^{2}}{289} - \frac{( y - 70 ) ^{2}}{1600} = 1

(h, k) = (0, 70), a = 17, b = 40

Solution steps

\frac{x ^{2}}{289} - \frac{( y - 70 ) ^{2}}{1600} = 1

Rewrite

\frac{x ^{2}}{289} - \frac{( y - 70 ) ^{2}}{1600} = 1

in the form of a standard hyperbola equation

\frac{( x - 0 ) ^{2}}{1 7 ^{2}} - \frac{( y - 70 ) ^{2}}{4 0 ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (0, 70), a = 17, b = 40

16 x^{2} - 9 y^{2} - 64 x - 54 y - 161 = 0

25 x^{2} - 4 y^{2} - 100 = 0

y^{2} = x^{2} + 529

x^{2} + 79 = y^{2} + 18 x - 2 y

4 x^{2} - 4 y^{2} + 20 x - 16 y + 25 = 0

What is (x^2)/(289)-((y-70)^2)/(1600)=1 ?
The solution to (x^2)/(289)-((y-70)^2)/(1600)=1 is Hyperbola with (h,k)=(0,70),a=17,b=40