Let `r_1, r_2, r_3` be the three (not necessarily distinct) solution to the equation `x^3 +
37 views · Published 13 October 2018 · 9:38 · Indexed 28 September 2026
Channel: Doubtnut · 2018 · Education
To ask Unlimited Maths doubts download Doubtnut from - https://goo.gl/9WZjCW Let `r_1, r_2, r_3` be the three (not necessarily distinct) solution to the equation `x^3 + 4x^2 - ax +1 = 0`. If a can be any real number, then find the minimum value of `(r_1+1/r_1)^2+(r_2+1/r_2)^2+(r_3+1/r_3)^2`.
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