Question

Se x + y = 13 e xy = 12, qual é o valor de x² + 2xy + y²? URGENTE!!!!!!!!!!!!!!!!!!!! COM CALCULOS PFVV

Answer 1

$resolucao \\ \\ \\ x + y = 13 > > > > x = 13 - y \\ x.y = 12 \\ \\ (13 - y)y = 12 \\ 13y - y {}^{2} = 12 \\ - y {}^{2} + 13y - 12 = 0 \times ( - 1) \\ y {}^{2} - 13y + 12 = 0 \\ \\ \\ delta = ( - 13) {}^{2} - 4.1.12 \\ delta = 169 - 48 \\ delta = 121 \\ delta = \sqrt{121} \\ delta = 11 \\ \\ y = \frac{13 + 11}{2} \\ y = \frac{24}{2} \\ y = 12 \\ \\ x = 13 - y \\ x = 13 - 12 \\ x = 1 \\ \\ \\ = {x}^{2} + 2.x.y + {y}^{2} \\ = {1}^{2} + 2.1.12 + {12}^{2} \\ = 1 + 24 + 144 \\ = 169 \\ \\ \\ > > > > > > >$