What is (x-2*y)*(x+2*y)=90005 ?

The solution to (x-2*y)*(x+2*y)=90005 is Hyperbola with (h,k)=(0,0),a=sqrt(90005),b=(sqrt(90005))/2

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(x-2y)(x+2*y)=90005

(x - 2 \cdot y) \cdot (x + 2 \cdot y) = 90005

(h, k) = (0, 0), a = 90005, b = \frac{90005}{2}

Solution steps

(x - 2 y) (x + 2 y) = 90005

Rewrite

(x - 2 y) (x + 2 y) = 90005

in the form of a standard hyperbola equation

\frac{( x - 0 ) ^{2}}{( 90005 ) ^{2}} - \frac{( y - 0 ) ^{2}}{( \frac{90005}{2} ) ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = 90005, b = \frac{90005}{2}

x^{2} - y^{2} = 303

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

(\frac{x + 2}{10})^{2} - (\frac{y + 4}{25})^{2} = 1

4 (x + 1)^{2} - 3 (y - 2)^{2} = 15

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

What is (x-2*y)*(x+2*y)=90005 ?
The solution to (x-2*y)*(x+2*y)=90005 is Hyperbola with (h,k)=(0,0),a=sqrt(90005),b=(sqrt(90005))/2