Question

Укажіть пару чисел яка є розв'язком системи рівнянь

Answer 1

Объяснение:

$\displaystyle\\\left \{ {{x^2+y^2=25} \atop {x+y=7}} \right. \ \ \ \ \left \{ {{x^2+(7-x)^2=25} \atop {y=7-x}} \right.\ \ \ \ \left \{ {{x^2+49-14x+x^2-25=0} \atop {y=7-x}} \right. \\\\\\\left \{ {{2x^2-14x+24=0\ |:2} \atop {y=7-x}} \right. \ \ \ \ \left \{ {{x^2-7x+12=0} \atop {y=7-x}} \right. \ \ \ \ \left \{ {{x^2-3x-4x+12=0} \atop {y=7-x}} \right.$

$\displaystyle\\\left \{ {{x(x-3)-4(x-3)=0} \atop {y=7-x}} \right.\ \ \ \ \left \{ {{(x-3)(x-4)=0} \atop {y=7-x}} \right. \ \ \ \ \left \{ {{x_1=3\ \ \ \ x_2=4} \atop {y_1=4\ \ \ \ y_2=3}} \right. .$

Ответ: (3;4),   (4;3).