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2022 Spring LMT Team 3 . x^2 + \frac{144}{x^2} = 25

Source:

September 1, 2022
algebra

Problem Statement

Let the four real solutions to the equation x2+144x2=25x^2 + \frac{144}{x^2} = 25 be r1,r2,r3r_1, r_2, r_3, and r4r_4. Find ∣r1∣+∣r2∣+∣r3∣+∣r4∣|r_1| +|r_2| +|r_3| +|r_4|.
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