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soldier1979 [14.2K]
4 years ago
14

Solve x2 - 8x+ 8 = 0 by completing the square,

Mathematics
1 answer:
Ket [755]4 years ago
7 0

Answer:

x_{1} =4+2\sqrt{2}\\x_{2}=4-2\sqrt{2}

Step-by-step explanation:

x^{2} - 8x+ 8 = 0

we divide the coefficient of the X by half :

in this case: 8x/2 = 4 , then we do the following

to the result obtained (4) squared: 4^2=16

we sum and subtract by 16 to maintain the balance of equation:

x^{2} - 8x+ 16-16+8 = 0

we have:

(x-4)^{2} -16 +8=0

(x-4)^{2} =16-8

(x-4)^{2} = 8

we write the square root on both sides of the equation:

\sqrt{(x-4)^{2}} = \sqrt{8}

we know:

\sqrt{a^{2}} = abs(a)

so we have:

abs(x-4)=\sqrt{2^{2}2 }

abs(x-4)=2\sqrt{2}

we have:

x_{1} -4 = 2\sqrt{2} \\\\x_{2} -4 =- 2\sqrt{2}

finally we have:

x_{1} = 4+2\sqrt{2} \\\\x_{2} =4 - 2\sqrt{2}

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Answer:  a. read, question, summarize, practice

Step-by-step explanation:

This may be subjective, but the most efficient method usually is:

> Read:

Obviously the first step is read, if there is something that you do not understand, keep reading (but take note of all the things that you don't understand), is important that you have a complete overview on the topic that you are studying

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Now is time to ask about the things that you did not understand in the first read, always when you do not fully understand something, is a good habit to ask about it, this is the best and easiest way to learn.

> Summarize:

Now that you understand all the text (or at least most of it) is the moment to summarize your new knowledge: Write all the new equations that you learned, also write for what they are for, when they can be useful, etc.

This is what you will use to solve exercises, so you should be clear when writing.

> Practice:

This is one of the most important parts, here is where you put in practice your new knowledge. Here you may find some problematic situations where you need to be inventive with your equations, which will allow you to learn new ways to use your equations, so this is a really important step.

So the correct option is A.

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