Evdokimov M.A.

Tanya took a list of one hundred numbers $1,2,3, \ldots, 100$ and crossed out several of them. It turned out that no matter which two numbers from the remaining ones Tanya took as $\$ a \$$ and $\$ b \$$, the equation $\$ x \wedge 2+a x+b=0 \$$ has at least one real root. What is the maximum number of numbers that could remain uncrossed?