What is 24a-a^2+b^2-1=0 ?

The solution to 24a-a^2+b^2-1=0 is Hyperbola with (h,k)=(12,0),a=sqrt(143),b=sqrt(143)

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24a-a^2+b^2-1=0

24 a - a^{2} + b^{2} - 1 = 0

(h, k) = (12, 0), a = 143, b = 143

Solution steps

24 a - a^{2} + b^{2} - 1 = 0

Rewrite

24 a - a^{2} + b^{2} - 1 = 0

in the form of a standard hyperbola equation

\frac{( a - 12 ) ^{2}}{( 143 ) ^{2}} - \frac{( b - 0 ) ^{2}}{( 143 ) ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (12, 0), a = 143, b = 143

x, 4 x^{2} - 2 m (x)^{2} - 25 x + 50 m (x) = 0

\frac{x ^{2}}{1} - \frac{y ^{2}}{16} = 16

(u + v) (u - v) = v

\frac{x ^{2}}{15} - \frac{y ^{2}}{5} = 1

10 x^{2} - 7 y^{2} - 30 x + 14 y - 5 = 0

What is 24a-a^2+b^2-1=0 ?
The solution to 24a-a^2+b^2-1=0 is Hyperbola with (h,k)=(12,0),a=sqrt(143),b=sqrt(143)