Question

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

Answer 1

Try multiplying the second equation by x and adding them together to find what x value they are the same.
Then plug in that x to find c.

Answer 2

or subtracting

Answer 3

(-3)^3+c(-3)^2+3=0
c=25/9

(-3)^3+c(-3)^2-3=0
c=10/3