The least positive non-integral solution of the equation \(\sin \pi\left(x^2+x\right)=\sin \pi x^2\) is

rational

irrational of the form \(\sqrt{\mathrm{p}}\)

irrational of the form \(\frac{\sqrt{\mathrm{p}}-1}{4}\), where p is an odd integer

irrational of the form \(\frac{\sqrt{\mathrm{p}}+1}{4}\), where p is an even integer