Question

For what rational number "c" do the equations x^3+cx^2+3=0 and x^2+cx+1 = 0 have a common solution?

Answer 1

c=-3

Answer 2

can you explain how do you get it?

Answer 3

\[x^3+cx^2+3=x^2+cx+1\]
\[x^3+cx^2-x^2-cx+2=0\]
\[x^3+(c-1)x^2-cx+2=0\]