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SVETLANKA909090 [29]
2 years ago
13

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

Mathematics
1 answer:
zlopas [31]2 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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4 Which of the following is a composite number between 80 ard 100?​
Firlakuza [10]

Answer: 90

90 is a composite number because:

4 x 15 = 90

10 x 9 = 90

A composite number has more than two factors.

Hope this helps!

8 0
3 years ago
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andre [41]
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64*6=384cm^2
5 0
3 years ago
What is the y-intercept, axis of symmetry and vertex of the following function.
tamaranim1 [39]
To find the y intercept you must substitute 0 into x.

F(x) = (-3x0) - (6x0) - 5
F(x) = -5

To find the axis of symmetry and vertex we use the formula -b/2a to find the x coordinate

x = 6/(-3x2)
x = 6/-6
x = -1

Now we need to find the y coordinate so we sub -1 into x.

F(x) = (-3x-1) - (6x-1) - 5
F(x) = 3 + 6 - 5
F(x) = 4

The axis of symmetry and vertex are (-1,4) and the y coordinate is -5. Hope this helps.
5 0
2 years ago
Read 2 more answers
J) You spend $35. Tip is 15%. How much did you pay in total?
rusak2 [61]

Answer:

You paid $40.25 in total.

Step-by-step explanation:

In this question:

Spending of 35%

Tip of 15% means that 15% of 35 will be added to your total spending. So

T = 35 + 0.15*35 = 35 + 5.25 = 40.25

You paid $40.25 in total.

3 0
3 years ago
Select all the expressions that have the same value
OverLord2011 [107]

so what was the question again?

Answer:

Step-by-step explanation:

3 0
2 years ago
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