Factoring, Using the Quadratic Formula, Completing the Square, and Discriminant

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. (Instructors will assign each student their number.)
If your assigned number is
Use FACTORING to solve:
Use the QUADRATIC FORMULA to solve:
17
3x2 – 10x + 7 = 0
• 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.
o Quadratic formula
o Factoring
o Completing the square
o 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. Respond to at least two of your classmates' posts by Day 7.