Quadratic Equation And Inequalities

Let m and \(\mathrm{n}\) be the numbers of real roots of the quadratic equations \(x^{2}-12 x+[x]+31=0\) and \(x^{2}-5|x+2|-4=0\) respectively, where \([x]\) denotes the greatest integer \(\leq x\). Then \(\mathrm{m}^{2}+\mathrm{mn}+\mathrm{n}^{2}\) is equal to __________.