Answer:
The dispute over Texas was resolved through the Treaty of Guadalupe Hidalgo in 1848, which ended the Mexican-American War. Mexico recognized Texas as part of the United States and ceded territories that are now part of California, Nevada, Utah, Arizona, New Mexico, Colorado, Wyoming, Kansas, and Oklahoma to the US.
Other methods that the US has used to resolve disputes over disputed areas include negotiations, mediation, arbitration, and litigation.
Negotiations involve direct talks between the parties involved to reach a mutually agreeable solution. Mediation involves a neutral third party who facilitates discussions between the parties to assist in reaching a resolution. Arbitration involves a third party who makes a ruling on the dispute after listening to evidence from both sides. Litigation involves taking legal action in a court of law.
These methods have been used in various disputes over time. For example, negotiations and mediation were used in the Camp David Accords of 1978 between Israel and Egypt over the Sinai Peninsula. Arbitration was used in the dispute over the island of Palmas between the Netherlands and the US in 1928. Litigation was used in the case of Nicaragua vs. United States in the International Court of Justice in 1986.