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SVETLANKA909090 [29]
3 years ago
13

4x2+16x+8=0 by completing the square

Mathematics
1 answer:
zlopas [31]3 years ago
5 0

Answer:

Add  

8

to both sides of the equation.

2

x

2

+

16

x

=

8

Divide each term by  

2

and simplify.

Tap for more steps...

x

2

+

8

x

=

4

To create a trinomial square on the left side of the equation, find a value that is equal to the square of half of  

b

.

(

b

2

)

2

=

(

4

)

2

Add the term to each side of the equation.

x

2

+

8

x

+

(

4

)

2

=

4

+

(

4

)

2

Simplify the equation.

Tap for more steps...

x

2

+

8

x

+

16

=

20

Factor the perfect trinomial square into  

(

x

+

4

)

2

.

(

x

+

4

)

2

=

20

Solve the equation for  

x

.

Tap for more steps...

x

=

±

2

√

5

−

4

The result can be shown in multiple forms.

Exact Form:

x

=

±

2

√

5

−

4

Decimal Form:

x

=

0.47213595

…

,

−

8.47213595

…

Step-by-step explanation:

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valentina_108 [34]

Answer:

Step-by-step explanation:

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3 0
3 years ago
Need help lol
GaryK [48]

We need to read the graph to see which are the two quantities related and how these are related.

The two quantities on the graph are:

  • Distance from Elena's house
  • Time.

Such that the <u>distance from Elena's house is a function of the time.</u>

<h3>How to read the graph?</h3>

We need to only read graph A, notice that she is coming back from school and going home, the graph starts at a high value and ends at zero. So we can assume that the vertical <u>zero represents her home.</u>

We know two events, first, she goes home and needs to come back to search for something, this is represented with the first "inverted peak" of graph A, then we have a constant line, that represents the time she is in the school looking something in her locker.

Then she goes home again, this time she finds a friend and goes to the library (this is why the line goes up again) and then she stops at the library for some time (this is why the line is horizontal for some time). Finally, she goes home, represented by the last segment of the line that intercepts the horizontal axis.

Then the two things represented in the graph are:

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This means that the <u>distance from Elena's house is a function of time.</u>

(The quantity in the vertical axis is a function of the quantity in the horizontal axis).

If you want to learn more about graphs, you can read:

brainly.com/question/4025726

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3 years ago
Which expression is equal to 632?
Taya2010 [7]

Answer:

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Step-by-step explanation:

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