Given the quadratic equation 
with unknown x and a constant m.
Prove that the equation has real solutions for all values of the parameter m.
Calculate the solution of the equation. Determine all values of the parameter m for which both solutions are negative.
For which values of the parameter m is the sum of the solutions of the equation the smallest? Calculate the solutions in this case.
is a positive number. Likewise the square of this expression. We proved that the equation has a solution regardless of the choice of constant m.
