Solving Quadratic Equations
In this discussion, you will solve quadratic equations by two main methods: factoring and using the quadratic formula. Read the following instructions in order and view the example to complete this discussion. Please complete the following problems according to your assigned number.
|
If your assigned number is |
Use FACTORING to solve: |
Use the QUADRATIC FORMULA to solve: |
|
42 |
25x2 – 20x + 4 = 0 |
16x2 + 1 = 8x |
· For the factoring problem, be sure you show all steps to the factoring and solving. Show a check of your solutions back into the original equation.
· For the quadratic formula problem, be sure that you use readable notation while you are working the computational steps. Refer to the Inserting Math Symbols handout for guidance with formatting.
· Present your final solutions as decimal approximations carried out to the third decimal place. Due to the nature of these solutions, no check is required.
· Incorporate the following four math vocabulary words into your discussion. Use bold font to emphasize the words in your writing. Do not write definitions for the words; use them appropriately in sentences describing your math work.
· Quadratic formula
· Factoring
· Completing the square
· Discriminant
Your initial post should be at least 250 words in length. Support your claims with examples from required material(s) and/or other scholarly resources, and properly cite any references.