What is (a+b)(a-b)=3168 ?

The solution to (a+b)(a-b)=3168 is Hyperbola with (h,k)=(0,0),a=12sqrt(22),b=12sqrt(22)

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(a+b)(a-b)=3168

(a + b) (a - b) = 3168

(h, k) = (0, 0), a = 1222, b = 1222

Solution steps

(a + b) (a - b) = 3168

Rewrite

(a + b) (a - b) = 3168

in the form of a standard hyperbola equation

\frac{( a - 0 ) ^{2}}{( 12 22 ) ^{2}} - \frac{( b - 0 ) ^{2}}{( 12 22 ) ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = 1222, b = 1222

- y^{2} = 4 - 2 x^{2}

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

9 - x^{2} + y^{2} > 0

- 2 x^{2} + 8 y^{2} - 8 x - 16 y = 30

4 y^{2} - 9 x^{2} + 16 y + 18 x - 29 = 0

What is (a+b)(a-b)=3168 ?
The solution to (a+b)(a-b)=3168 is Hyperbola with (h,k)=(0,0),a=12sqrt(22),b=12sqrt(22)