Quadratic formula with complex solutions

The  exercise appears under the Algebra II Math Mission. This exercise practices the quadratic formula, sometimes yielding answers that are complex.

Types of Problems
There is one type of problem in this exercise:


 * 1) Find the solutions of the quadratic equation: This problem has a quadratic equation given. The student is asked to find the solutions by using the quadratic formula, and select the correct answer from a multiple choice list.Qfwcs1.png

Strategies
Knowledge of the quadratic formula and an ability to work with complex numbers are encouraged to ensure success on this exercise.
 * 1) The quadratic formula is $$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$$.
 * 2) When the discriminant, $$ D=b^2-4ac$$ is negative the quadratic formula will yield imaginary solutions.

Real-life Applications

 * 1) Quadratics are used to model acceleration due to gravity and are useful in the inverse square law from physics.