Does the discriminant with a value of 49 indicate that the quadratic equation has (a) 2 real solutions or (b) 2 rational solutions, and why? Also, what's the difference?
cheers
is 49 then you have two solutions because the solutions of using the quadratic formula and as you can see you have two solutions and ...to have only one solution you need your discriminant to be zero so the value of x that makes the polynomial zero is given by which just gives as your answer...and finally to have zero solutions you need the discriminant to be negative because your answer will be where ...and since is an imaginary number there are no REAL solutions