What is the largest number c such that \(2x^2+5x+c=0\) has at least one real solution?
It will have a real solution so long as b^2-4ac is greater or equal to 0
\(b^2-4ac\ge0\\ 25-8c\ge0\\ -8c\ge-25\\ 8c\le25\\ c\le 3.125\)