Question

Please help!. Find a value for k so that the quadratic equation x^2+(2k+3)x+(k^2+2)=0 has rational roots.

Answer 1

find values of \[\sqrt{(2k+3)^2-4(k^2+2)}\] that are rational. After a little playing around I can see that k=0 works.

Answer 2

Ok, thanks