Find the Value(s) of m | Stanford Entrance Exam

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This problem comes from The Stanford Mathematics Problem Book by George Polya & Jeremy Kilpatrick. Can you find the value(s) of m such that the equation x^4 - (3m + 2)x^2 + m^2 = 0 has 4 real roots in arithmetic progression.

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Michael penn solved this after you did!, Keep it up!

moros_gamer
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I did it by using the quadratic formula, factoring it would've saved me some time

weirdfrog