# Algebra Solving the quadratic equations by two main methods

**Question description**

In this discussion, you will solve quadratic equations by two main methods: factoring and using the quadratic formula. Follow the instructions in order, to complete problems 1 and 2

*Solve by using
the quadratic formula*

**1.** x^2+10x-3=0

*Solve
by factoring*

**2.
**3x^2−
6x= 24

For the Quadratic Formula problem, be sure that you use readable notation while you are working the computational steps.

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.

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.

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