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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.):
Quadratic formula
Factoring
Completing the square
Discriminant

Tags quadratic using formula factoring methods equations main quadratic solutions factoring words check math problem sure following steps decimal discuion formula guidance symbols formattingpresent carried place approximations final bold sentences appropriately describing workquadratic squarediscriminant formulafactoringcompleting definitions write mathnbspvocabularynbspnbspwords

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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
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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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Quadratics.docx (148.35 KB)
Preview: decimal xxxxxxxxxxxxxx carried xxx to the xxxxx decimal place xxx to xxx xxxxxx of xxxxx solutions, no xxxxx is required xxxxxxxxxxx the xxxxxxxxx xxxx math xxxxxxxxxx words into xxxx discussion Use xxxx font xx xxxxxxxxx the xxxxx in your xxxxxxx (Do not xxxxx definitions xxx xxx words; xxx them appropriately xx sentences describing xxxx math xxxx xx Quadratic xxxxxxx Factoring Completing xxx square DiscriminantThe xxxxxxxxx equation xx x 6x x 8 = x can be xxxxxx solved xx xxxxxxxxx To xx so, it xx necessary to xxxx two xxxxxxx x and xx such that xxxxx sum is x and xxxxx xxxxxxx is x The values x and 2 xxx immediately xxxxxxx xxxxxxx The xxxxxxxx expression is xxxx written as:(x x a)(x x xx = xxxxxxxxxxxxx the values x and 2 xxx a xxx.....
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