What is a^2-b^2=150 ?

The solution to a^2-b^2=150 is Hyperbola with (h,k)=(0,0),a=5sqrt(6),b=5sqrt(6)

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a^2-b^2=150

a^{2} - b^{2} = 150

(h, k) = (0, 0), a = 56, b = 56

Solution steps

a^{2} - b^{2} = 150

Rewrite

a^{2} - b^{2} = 150

in the form of a standard hyperbola equation

\frac{( a - 0 ) ^{2}}{( 5 6 ) ^{2}} - \frac{( b - 0 ) ^{2}}{( 5 6 ) ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = 56, b = 56

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

50 x^{2} - 4 y^{2} - 200 x + 24 y + 36 = 0

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

a^{2} - b^{2} = 31

9 y^{2} - 25 x^{2} + 54 y + 150 x = 369

What is a^2-b^2=150 ?
The solution to a^2-b^2=150 is Hyperbola with (h,k)=(0,0),a=5sqrt(6),b=5sqrt(6)