What is (a+b)*(a-b)=20 ?

The solution to (a+b)*(a-b)=20 is Hyperbola with (h,k)=(0,0),a=2sqrt(5),b=2sqrt(5)

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(a+b)*(a-b)=20

(a + b) \cdot (a - b) = 20

(h, k) = (0, 0), a = 25, b = 25

Solution steps

(a + b) (a - b) = 20

Rewrite

(a + b) (a - b) = 20

in the form of a standard hyperbola equation

\frac{( a - 0 ) ^{2}}{( 2 5 ) ^{2}} - \frac{( b - 0 ) ^{2}}{( 2 5 ) ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = 25, b = 25

y^{2} - 2 x^{2} + 6 y - 16 x - 31 = 0

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

x^{2} - 9 y^{2} - 2 x - 36 y = 44

- 2 x^{2} - y^{2} = 64 - 3 x^{2}

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

What is (a+b)*(a-b)=20 ?
The solution to (a+b)*(a-b)=20 is Hyperbola with (h,k)=(0,0),a=2sqrt(5),b=2sqrt(5)