What is 5y^2+30y+8x-79-4x^2=0 ?

The solution to 5y^2+30y+8x-79-4x^2=0 is Hyperbola with (h,k)=(1,-3),a=2sqrt(6),b=sqrt(30)

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5y^2+30y+8x-79-4x^2=0

5 y^{2} + 30 y + 8 x - 79 - 4 x^{2} = 0

(h, k) = (1, - 3), a = 26, b = 30

Solution steps

5 y^{2} + 30 y + 8 x - 79 - 4 x^{2} = 0

Rewrite

5 y^{2} + 30 y + 8 x - 79 - 4 x^{2} = 0

in the form of a standard hyperbola equation

\frac{( y - ( - 3 ) ) ^{2}}{( 2 6 ) ^{2}} - \frac{( x - 1 ) ^{2}}{( 30 ) ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (1, - 3), a = 26, b = 30

4 x^{2} - y^{2} - 24 x - 4 y + 16 = 0

\frac{( y - 1 ) ^{2}}{49} - \frac{( x - 2 ) ^{2}}{32} = 1

4 x^{2} + 8 x - 3 y^{2} + 16 = 0

f (x) (f (x)) = x^{2} + 1

y^{2} - 2 y - (x^{2} - x - 1) = 0

What is 5y^2+30y+8x-79-4x^2=0 ?
The solution to 5y^2+30y+8x-79-4x^2=0 is Hyperbola with (h,k)=(1,-3),a=2sqrt(6),b=sqrt(30)