Show how to solve 8x^2+14x+5=0 by completing the square.

The majority of theorems in mathematics take the form of compound statements. These statements are called conditional and biconditional statements.

The conditional statement from the sentence above is:

If x is an engineer then x is resourceful.

Put in a mathematical form we can refer to the Implication as:

If Xe then R. Or

Xe implies R. Or

Xe if R.

The Hypothesis is stated as

Xe ⇒ R

The statement  Xe in an implication Xe ⇒ R is called its hypothesis, premise, or antecedent, and R  the conclusion or consequence.

Implications are critical in expressing a logical argument. If an implication is found to be true, then the consequences must be as well when the hypothesis satisfied. This is why is also referred to as a conditional statement.

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