1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
kvv77 [185]
4 years ago
12

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

Mathematics
1 answer:
Len [333]4 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:

You might be interested in
Name 3 U.S cities that has a zip code containing the first 5 digits of pi, In any order 3.1415
Stels [109]
I'm only aware of one --> Savannah, Georgia has the zip code of 31415.

hope this helps!
3 0
3 years ago
Think about it…A pen costs $1, and a jacket costs $199; both prices increase by $1. Discuss with a shoulder partner how both inc
Vinil7 [7]

Answer: Pen increased by 100%; Jacket increased by 0.5%

Step-by-step explanation:

Pen increased by 100%,

1 ÷ 1 × 100= 100%

While jacket increased by

199 ÷ 200 × 100

=99.5%

99.5%- 100%

=0.5%

8 0
3 years ago
Use the function f(x) = 2 - 5x to fill in the blanks in the table.
KiRa [710]
2-5(-2)=12
2-5(-1)=7
2-5(0)=2
2-5(1)=-3
2-5(2)=-8
7 0
3 years ago
L=5a, w=2a, h=(a power of 3-3a power of 2+a) what is the volume of the rectangle prism?
Greeley [361]
The answer is a I hope this helped!
5 0
3 years ago
If (k+1), 3k, (4k+2) are three consecutive terms of an AP then k = ?​
seropon [69]

The three consecutive terms in an AP are (k+1) ,3k and (4k+2)

We know that

If a,b,c are the three consecutive terms in an AP then b = (a+c)/2

now ,

Let a = k+1 , b = 3k and c = 4k+2

⇛3k = (k+1+4k+2)/2

⇛3k = (5k+3)/2

⇛2×3k = 5k+3

⇛6k = 5k+3

⇛ 6k-5k = 3

⇛ k = 3

The value of k = 3

<u>also</u><u> read</u><u> similar</u><u> questions</u><u>:</u> if there consecutive terms of an AP are k+2 ,4k -6 and 3k-2 . What is the value of k....

brainly.com/question/23844186?referrer

the first three terms of an arithmetic sequence are 3k-1, 4k+1, 6k-2. What is the value of k?...

brainly.com/question/17447469?referrer

5 0
2 years ago
Other questions:
  • Restaurant customers tip their server only 8 percent for poor service. if their tip was $3.7, how much was their bil?
    10·1 answer
  • What is the surface area of a sphere with a diameter of 12 centimeters ?
    6·2 answers
  • Help please ! ALGEBRA 2 WORD PROBLEM
    11·1 answer
  • Elton is a candle maker. Each 15 centimeter long candle he makes burns evenly for six hours. If Elton makes a 45 long centimeter
    6·2 answers
  • 20+64 distributive property
    13·2 answers
  • Find the area of the shaded polygons<br> PLS HELP ASAP AGAIN!!!
    8·1 answer
  • Solve these plz<br>10 points for these plz solve<br>​
    11·2 answers
  • Help please! no links! <br> -<br> -<br> -<br> -
    13·1 answer
  • Yeah can someone explain this to me
    7·1 answer
  • A game of “Doubles-Doubles” is played with two dice. Whenever a player rolls two dice and both die show the same number, the rol
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!