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kvv77 [185]
3 years ago
12

Solve by completing the square: x^2 + 7x + 4 = 0

Mathematics
1 answer:
Len [333]3 years ago
5 0

Answer:

x

2

+

7

x

−

4

=

0

Add  

4

to both sides of the equation.

x

2

+

7

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

=

(

7

2

)

2

Add the term to each side of the equation.

x

2

+

7

x

+

(

7

2

)

2

=

4

+

(

7

2

)

2

Simplify the equation.

Tap for more steps...

x

2

+

7

x

+

49

4

=

65

4

Factor the perfect trinomial square into  

(

x

+

7

2

)

2

.

(

x

+

7

2

)

2

=

65

4

Solve the equation for  

x

.

Tap for more steps...

x

=

±

√

65

2

−

7

2

The result can be shown in multiple forms.

Exact Form:

x

=

±

√

65

2

−

7

2

Decimal Form:

x

=

0.53112887

−

7.53112887

Step-by-step explanation:

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DiKsa [7]

Answer:

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Step-by-step explanation:

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6 0
3 years ago
What is 12.25 as a fraction
Finger [1]

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\large\boxed{12.25=\dfrac{49}{4}}

Step-by-step explanation:

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8 0
3 years ago
A student was assigned to read a book over 5 days. On the first day, she read 25 pages. On the second day she read 45 pages, on
nignag [31]

Answer:

Hint : They are a all common factors of 5

Step-by-step explanation:

You divide each of them by 5 then add them all together then you will get your answer.

Good luck!

7 0
2 years ago
Find the range. Write your answer in algebraic notation (with the inequalities).
Svet_ta [14]

Answer:

(-3, infinity)

Step-by-step explanation:

Range the y values, meaning up and down. The highest point is neverending therefore, infinity. The lowest point is -3.

I'm pretty sure this is correct.

4 0
2 years ago
Which point is a solution to y&lt;4x+5
Alla [95]

Answer:

(1,-1)

Step-by-step explanation:

y < 4x+5

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3 0
3 years ago
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