What is x^2-y^2-8x+10=0 ?

The solution to x^2-y^2-8x+10=0 is Hyperbola with (h,k)=(4,0),a=sqrt(6),b=sqrt(6)

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x^2-y^2-8x+10=0

x^{2} - y^{2} - 8 x + 10 = 0

(h, k) = (4, 0), a = 6, b = 6

Solution steps

x^{2} - y^{2} - 8 x + 10 = 0

Rewrite

x^{2} - y^{2} - 8 x + 10 = 0

in the form of a standard hyperbola equation

\frac{( x - 4 ) ^{2}}{( 6 ) ^{2}} - \frac{( y - 0 ) ^{2}}{( 6 ) ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (4, 0), a = 6, b = 6

8 x^{2} - 2 y^{2} - 12 = 0

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

\frac{( y - 7.5 ) ^{2}}{0.25} - \frac{( x - 1 ) ^{2}}{0.25} = 1

y^{2} - 4 x^{2} - 12 y - 16 x + 16 = 0

26 x^{2} - 17 y^{2} = 284

What is x^2-y^2-8x+10=0 ?
The solution to x^2-y^2-8x+10=0 is Hyperbola with (h,k)=(4,0),a=sqrt(6),b=sqrt(6)