# Solving Quadratic Equations

**Question description**

In this discussion, you will solve quadratic equations by two main methods: factoring and using the quadratic formula.

**Solve the following problem by factoring**

*y*^{2} − 3*y* − 10 = 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.

**Solve the following problem by using the Quadratic Formula**

x2−7x+4=0

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

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