Prove the following, if true; otherwise, provide/derive a counterexample/contradiction:
1. If and , then has no real solutions for all .
2. If and , then has a single real solution for all .
Prove the following, if true; otherwise, provide/derive a counterexample/contradiction:
1. If and , then has no real solutions for all .
2. If and , then has a single real solution for all .