Mathematics · 2015
JEE Main · 10 April 2015, Shift 1 · Q63
If 2+3 i is one of the roots of the equation 2 x^3-9 x^2+ k x-13=0, k ∈ R, then the real root of this equation:
If $\displaystyle 2+3 i$ is one of the roots of the equation $\displaystyle 2 x^3-9 x^2+\mathrm{k} x-13=0, \mathrm{k} \in \mathbf{R}$, then the real root of this equation :
Official answer
(2)
exists and is equal to $\displaystyle \frac{1}{2}$.
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JEE Main 2015 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.