Solving an equation means determining your truth set. In solving an incomplete equation, we use factorization techniques and two important properties of real numbers:
Case 1: type equation .
- Determine the roots of the equation , being .
SolutionInitially we put x in evidence:
For the product to be zero, one of the factors alone must be. Like this:
In this way we obtain two roots that form the truth set:
In general, the equation of type have for solutions and .
2nd Case: type equation
Determine the roots of the equation , being U = GO.
In general, the equation of type has two real roots if is a positive number and has no real root if be a negative number.