In studios and on stages, cardioid microphones are often preferred for the richness they add to voices and for their ability to reduce the level of sound from the sides and rear of the microphone. Suppose one such cardioid pattern is given by the equation:

(X^2 + Y^2 - 5X)^2 = 25X^2 + 25Y^2

A) Find the intercepts of the graph of the equation

&

B) Test for symmetry with respect to the x-axis, y-axis, and origin.

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