Question

Solve
Y=x^2+3x+5
Y=-x+2

Answer 1

`y=x^2+3x+5\\ y=-x+2\\\\ -x+2=x^2+3x+5\\ x^2+4x+3=0\\ x^2+x+3x+3=0\\ x(x+1)+3(x+1)=0\\ (x+3)(x+1)=0\\ x=-3 \vee x=-1\\\\ y=-(-3)+2 \vee y=-(-1)+2\\ y=3+2 \vee y=1+2\\ y=5 \vee y=3\\\\ \boxed{(x,y)=\{(-3,5),(-1,3)\}}`