Maths Olympiad Prep

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Algebra Difficulty 4.9 AIME Find the answer

3. Given the complex curve satisfying the condition ∣z2∣+∣z2−1∣=7\left|z^{2}\right|+\left|z^{2}-1\right|=7. Then the eccentricity e of this conic section is \qquad

A number or a short expression. Fractions can be typed as 3/2, and spacing doesn't matter.

Solution

3. 12\frac{1}{2}

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Source: NuminaMath-1.5, licensed Apache-2.0. Statement and solution reproduced as published; topic and difficulty added by this site.