Quadratic inequations

To solve a quadratic inequation:
- Obtain an equivalent inequation with all the monomials in one side (like in quadratic equations).
- Solve the quadratic equation.
- The solutions divide the real number line into pieces. Then, try one value from each piece and, if the inequation is true, the whole piece is a solution.
- Try the solutions of the equation and write the whole solution.

 

Example:

 

  Exercise: Solve the following inequations:

 a) x² + 3x - 10 > 0

 b) x²+ 2x + 1 < 0

 

 

 Solutions: a) x € (-∞,-5)U(2,∞);  b) Φ