Why was the Gulf of Tonkin Incident a turning point for American involvement in Vietnam?

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Explanation:

The Gulf of Tonkin Resolution authorized President Lyndon Johnson to “take all necessary measures to repel any armed attack against the forces of the United States and to prevent further aggression” by the communist government of North Vietnam.

Fifty years ago, the Gulf of Tonkin Resolution marked a major turning point in the Cold War struggle for Southeast Asia. Passage of the resolution gave President Lyndon B. Johnson authority to expand the scope of U.S. involvement in Vietnam without a declaration of war. Gulf of Tonkin incident, complex naval event in the Gulf of Tonkin, off the coast of Vietnam, that was presented to the U.S. Congress on August 5, 1964, as two unprovoked attacks by North Vietnamese torpedo boats on the destroyers Maddox and Turner Joy of the U.S. Seventh Fleet and that led to the Gulf of Tonkin.

answer

explanation

the given equation is

we can rewrite this as:

let

then the equation becomes:

the factors of 8 that sum up to -9 are {-1,-8}

we split the middle term with these factors to obtain,

we factor by grouping to obtain:

apply the zero product property to get:

but