What is (a-b)(a+b)=3000 ?

The solution to (a-b)(a+b)=3000 is Hyperbola with (h,k)=(0,0),a=10sqrt(30),b=10sqrt(30)

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(a-b)(a+b)=3000

(a - b) (a + b) = 3000

(h, k) = (0, 0), a = 1030, b = 1030

Solution steps

(a - b) (a + b) = 3000

Rewrite

(a - b) (a + b) = 3000

in the form of a standard hyperbola equation

\frac{( a - 0 ) ^{2}}{( 10 30 ) ^{2}} - \frac{( b - 0 ) ^{2}}{( 10 30 ) ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = 1030, b = 1030

y^{2} = x^{2} + 576

3 4^{2} + x^{2} = y^{2}

y^{(2)} - 9 x^{2} + 8 x - 8 y - 2 = 0

x^{2} - y^{2} = 225

(x - y) (x + y) = 24

What is (a-b)(a+b)=3000 ?
The solution to (a-b)(a+b)=3000 is Hyperbola with (h,k)=(0,0),a=10sqrt(30),b=10sqrt(30)