Question

Решить систему уравнений ( x-y) (x^2-y^2)=45 x+y=5

Answer 1

$\left \{ {{(x-y)(x^2-y^2)=45,} \atop {x+y=5;}} \right. \left \{ {{(x-y)(x-y)(x+y)=45,} \atop {x+y=5;}} \right. \left \{ {{(x-y)^2(x+y)=45,} \atop {x+y=5;}} \right. \left \{ {{(x-y)^2\cdot5=45,} \atop {x+y=5;}} \right. \\ \left \{ {{(x-y)^2=9,} \atop {x+y=5;}} \right. \left \{ {{\left [ {{x-y=-3,} \atop {x-y=3,}} \right.} \atop {x+y=5;}} \right. \left [ {{\left \{ {{x-y=-3,} \atop {x+y=5,}} \right.} \atop {\left \{ {{x-y=3,} \atop {x+y=5;}} \right.}} \right.$ $\left [ {{\left \{ {{2x=2,} \atop {y=5-x,}} \right.} \atop {\left \{ {{2x=8,} \atop {y=5-x;}} \right.}} \right. \left [ {{\left \{ {{x=1,} \atop {y=4,}} \right.} \atop {\left \{ {{x=4,} \atop {y=1;}} \right.}} \right. \\ (1;4), (4;1).$