Question

Сумма 2 чисел равен 29 а произведение равно 204

Answer 1

$\left \{ {{x+y=29} \atop {xy=204}} \right. \\ \left \{ {{x=29-y} \atop {y(29-y)=204}} \right. \\ -y^2+29y-204=0 \\ D=b^2-4ac=841-816=25=5^2 \\ y= \frac{-b+- \sqrt{D} }{2a} = \frac{-29+-5}{-2} \\y_1=12 \\ y_2=17 \\ \left \{ {{x_1=29-12} \atop {y_1=12}} \right. \left \{ {{x_2=29-17} \atop {y_2=17}} \right. \\ \left \{ {{x_1= 17} \atop {y_1=12}} \right. \left \{ {{x_2=12} \atop y_2=17}} \right.$