MathDB

3

Part of 2022 LMT Spring

Problems(2)

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

Source:

9/1/2022
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|.
algebra
2022 LMT Spring Accuracy Problem 3

Source:

9/29/2023
Find the difference between the greatest and least values of lcm(a,b,c)lcm (a,b,c), where aa, bb, and cc are distinct positive integers between 11 and 1010, inclusive.
number theory