abbie1

Solve the following quadratic equation by using a method below:
0 = x^2 + 8x + 4
Methods:
Completing the Square
Factoring
Quadratic Formula
Graphing

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Muskan

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Quadratic Formula

Muskan

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yes

Muskan

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|dw:1354817111266:dw|

Muskan

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|dw:1354817224827:dw|

Muskan

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|dw:1354817354330:dw|

Muskan

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is that your answer

Frostbite

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that is your answer.

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\[x=2(\sqrt{3}-2)\]
\[x=-2(\sqrt{3}+2)\]

abbie1

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Wait but can't you also do it by completing the square??

abbie1

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im so confused. are you suposed to get the same answer no w=matter what method you use???

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Yes you are :)

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Unless we use aproximation methods.

abbie1

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Well is you answer right?
x=2(3√−2)
x=−2(3√+2)
I completed the square and got -4+- root 12?? How would you simplify that???

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What I wrote is the quadratic formula you had hardships rewriting... mearly a rewriteing, nothing else... This "Completing the square"-method I'm not familiar with... unless we have another name for it in my native language.

abbie1

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thanks!

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like -4+- root 12 is the same as:
\[\pm 2 \sqrt{3}-4\]
(sorry I constrantly right wrong)

abbie1

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Yes..but couldn't the -4 go in front?? thats not the same as your answer.. which is right??!??!?!!!!

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The answers is the same abbie no need to worry.
\[2(\sqrt{3}-2)=2\sqrt{3}-4\]
Just 2 multiplied into the parentheses.

abbie1

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thanks!!