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# quadratic equations by two main methods: factoring and using the Quadratic Formula.

Question # 00012053
Subject: Mathematics
Due on: 05/12/2014
Posted On: 04/11/2014 01:27 AM

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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:

Solve by Factoring
#2 Pg 635
1. x^2+6x+8=0

Solve with Quadratic Formula
#78 Pg 637
1.5w^2-3=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 Inserting Math Symbols 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.):
Factoring
Completing the square
Discriminant
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#### quadratic equations by two main methods: factoring and using the Quadratic Formula.

Tutorial # 00011622
Posted On: 04/11/2014 01:27 AM
Posted By:
vikas
Questions:
4728
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4987
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Tutorial Preview …completing xxx square xx this case, xxxxx subtract 8 xxxx both xxxxx xx get: xx + 6x x -8 Then xxx the xxxxxx xx half xx the coefficient xx the first-order xxxx to xxxx xxxxx That xxxxx is (6/2)2 x 32 = x Adding x xx both xxxxx gives: x2 x 6x + x = xx x 9 xx + 6x x 9 = x The xxxx xxxx is x perfect square xxx can be xxxxxx factored xx xxxxx (x x 3)2 = x Taking the xxxxxx root xx xxxx sides xxxxxx x + x = ±1 xxxx can xx xxxxxxxxx as xxx separate equations: x + 3 x 1 x x 3 x -1 Solving xxxx equation for x gives: x x 3 x 1 x x 3 – x = x xxx 3 x = -2 xxx x + x…
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