What is 4x^2-y^2-24x-8y=44 ?

The solution to 4x^2-y^2-24x-8y=44 is Hyperbola with (h,k)=(3,-4),a=4,b=8

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4x^2-y^2-24x-8y=44

4 x^{2} - y^{2} - 24 x - 8 y = 44

(h, k) = (3, - 4), a = 4, b = 8

Solution steps

4 x^{2} - y^{2} - 24 x - 8 y = 44

Rewrite

4 x^{2} - y^{2} - 24 x - 8 y = 44

in the form of a standard hyperbola equation

\frac{( x - 3 ) ^{2}}{4 ^{2}} - \frac{( y - ( - 4 ) ) ^{2}}{8 ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (3, - 4), a = 4, b = 8

4 x^{2} - 9 y^{2} + 16 x + 18 y - 11 = 0

(16) x^{2} + (256) x - (361) y^{2} - 3610 y + (4273) = 0

x, x^{2} + 10 x + 25 = x + k (x)^{2}

x^{2} - y^{2} = 280

x - y = - 3 x^{2} + 2 y^{2}

What is 4x^2-y^2-24x-8y=44 ?
The solution to 4x^2-y^2-24x-8y=44 is Hyperbola with (h,k)=(3,-4),a=4,b=8