What is 3x^2-y^2-18x+4y+20=0 ?

The solution to 3x^2-y^2-18x+4y+20=0 is Hyperbola with (h,k)=(3,2),a=1,b=sqrt(3)

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3x^2-y^2-18x+4y+20=0

3 x^{2} - y^{2} - 18 x + 4 y + 20 = 0

(h, k) = (3, 2), a = 1, b = 3

Solution steps

3 x^{2} - y^{2} - 18 x + 4 y + 20 = 0

Rewrite

3 x^{2} - y^{2} - 18 x + 4 y + 20 = 0

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

(h, k) = (3, 2), a = 1, b = 3

- 9 x^{2} - 36 x + 16 y^{2} - 32 y - 164 = 0

9 X^{2} - Y^{2} + 54 X + 10 Y + 55 = 0

4 x^{2} - 9 y^{2} + 40 x - 72 y - 80 = 0

y^{2} = x^{2} - 9

36 x^{2} - 64 y^{2} - 504 x + 768 y - 1769 = 0

What is 3x^2-y^2-18x+4y+20=0 ?
The solution to 3x^2-y^2-18x+4y+20=0 is Hyperbola with (h,k)=(3,2),a=1,b=sqrt(3)