Solve quadratic equations using the quadratic formula

The  exercise appears under the Algebra I Math Mission. This exercise practices using the quadratic formula to solve quadratic equations.

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


 * 1) Use the quadratic formula to find the solutions: This problem provides a quadratic equation. The student is expected to use the quadratic formula to find the solutions and then select the correct options from a multiple choice list.Utqf1.png

Strategies
Knowledge of the quadratic formula is all that is required to complete this exercise. However, occasionally it is not necessary.
 * 1) The quadratic formula is $$x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$$.
 * 2) Calculating only the discriminant (the expression under the square root) can increase efficiency on this exercise.
 * 3) There are several mnemonics and songs to assist with memorizing this formula.

Real-life Applications

 * 1) The quadratic formula is a fail-safe method to solve quadratics. It is not always the most efficient, but it also describes complex solutions and catches repeated roots.
 * 2) Quadratics are used to model many physical situations, such as gravity.