The parabola y = x² +4 has two tangents which pass through the point (0, -4). One is tangent to the parabola at (A, A²+4) and

Question

The parabola y = x² +4 has two tangents which pass through the point (0, -4). One is tangent to the parabola at (A, A²+4) and the other at (-A, A² + 4). Find (the positive number) A.

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