Quadratic Formula

If a quadratic equation factors then certainly you should solve it by factoring. The problem is that not all quadratic equations factor. When this is the case we could use the quadratic formula to find the solutions. (We will limit our introduction to equations where b^2 - 4ac >= 0 .)

Playlist for solving using the quadratic formula

Most textbooks provide a nice proof of the quadratic formula. The proof involves solving the general quadratic by completing the square. This study guide will focus on using the formula to solve problems.

Solve using the quadratic formula:

   Step 1: Identify the coefficients a, b, and c.

   Step 2: Write down the formula (you should memorize it).

   Step 3: Substitute in the appropriate values and then evaluate.

Solve using the quadratic formula.

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Video Examples on YouTube:

Intermediate Algebra Exam #3

Click on the 10 question exam covering topics in chapter 6. Give yourself one hour to try all of the problems and then come back and check your answers.

[ IA Sample Exam #3 ]

 

 

 

 

  

  

9. The height of a baseball in feet tossed upward is given by the function

where t represents time in seconds.  What is the maximum height of the baseball? 

10. Find a quadratic equation with solutions: {±5i}

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