a*b = 2a + 2b

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on Apr 10, 2025 at 1:07 am



You asked:

Investigate the equation: ab=2a+2ba b = 2 a + 2 b.

MathBot Answer:

The graph of the equation ab=2a+2ba b = 2 a + 2 b is a hyperbola.


The coordinates of its foci are: (222,222)\left(2 - 2 \sqrt{2}, 2 - 2 \sqrt{2}\right) and (2+22,2+22)\left(2 + 2 \sqrt{2}, 2 + 2 \sqrt{2}\right).

The coordinates of its vertices are: (0,0)\left(0, 0\right) and (4,4)\left(4, 4\right).

The asymptotes have equations: 2a=02 - a = 0 and 2b=02 - b = 0.

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