We report the first observation of B0→X(3872)(K+π−) and
evidence for B+→X(3872)(K0π+). We measure the product of
branching fractions for the former to be {\cal B}(B^0 \to X(3872) (K^+ \pi^-))
\times {\cal B}(X(3872) \to J/\psi \pi^+ \pi^-) = (7.9 \pm 1.3(\mbox{stat.})\pm
0.4(\mbox{syst.})) \times 10^{-6} and find that B0→X(3872)K∗(892)0 does not dominate the B0→X(3872)K+π− decay
mode. We also measure {\cal B}(B^+ \to X(3872) (K^0 \pi^+)) \times {\cal
B}(X(3872) \to J/\psi \pi^+ \pi^-) = (10.6 \pm 3.0(\mbox{stat.}) \pm
0.9(\mbox{syst.})) \times 10^{-6}. This study is based on the full data sample
of 711~fb−1 (772×106BBˉ pairs) collected at the
Υ(4S) resonance with the Belle detector at the KEKB collider.Comment: 7 pages, 3 figure