[tex]\displaystyle\bf\\x^{2} +9x-22=0\\\\Teorema \ Vieta \ :\\\\x_{1} +x_{2} =-9\\\\x_{1} \cdot x_{2} =-22\\\\\\x_{1} ^{2} +x_{2} ^{2} =(x_{1} + x_{2} )^{2} -2\cdot x_{1} \cdot x_{2} =(-9)^{2} -2\cdot(-22)=\\\\=81+44=125\\\\Otvet \ : \ x_{1} ^{2} +x_{2} ^{2} =125[/tex]