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
I need help whats the closer 3 or 7 whats in the mittle
maks197457 [2]
34567

5 is in the middle
8 0
3 years ago
Can u help me on number 5,6,and 7 i will help u on what u need just send me a message
Fynjy0 [20]
<em>5.</em> Input 5 where the x's, 3 = 2(5) - 7 is a true statement. 10 - 7 = 3
3 < 10 - 9 is a false statement, 3 > 1 is a true statement
2 is less than or equal to 11, is a false statement (2 is less than 11, but not equal to)
18 = 30 -12 is a true statement  30 - 12 = 18, 18=18
3= 2 + 5 is a false statement, 3 is not equal to 7

<em>6. </em>7 is less than or equal to 5(4) -16, 20 - 16 = 4, 7 is not less than or equal to 4. Therefore, 4 is not a solution.

<em>7. </em>9(5) - 3 < 60, 45-3 < 60, 42 < 60, 42 is less than 60, so the equation is true. 
9(6) - 3 < 60, 54 - 3 <  60, 51 < 60, 51 is less than 60, so the equation is true.
6(7) - 3 < 60, 63 -3 < 60,  60 < 60, 60 is equal to 60, the equation is false.

4 0
4 years ago
Read 2 more answers
The scale on a map is 1 in: 55 miles. What is the distance on the map between two cities that are 99 miles apart?
Alex_Xolod [135]

Answer:

1.8 inches

Step-by-step explanation:

Create a proportion where x is the distance on the map

\frac{1}{55} = \frac{x}{99\\}

Cross multiply and solve for x

55x = 99

x = 1.8

So, the distance on the map is 1.8 inches

4 0
3 years ago
Read 2 more answers
33.06 is 228% of what number?
marta [7]
14.5 would be the answer

4 0
3 years ago
What is the first step to solve the equation x^2-3=15​
Otrada [13]

You will need to add 3 to each side.

x^2-3=15

    +3   +3

x^2=12

and go from there

6 0
3 years ago
Read 2 more answers
Other questions:
  • Six balls are selected at random without replacement from an urn containing three white balls and five blue balls. find the prob
    15·1 answer
  • Name another way to prove a quadrilateral is a rectangle.
    10·1 answer
  • Can't figure out this problem help please :)
    13·1 answer
  • What is AC if AB = 5 and BC = 11.
    11·1 answer
  • Madison must run a mile in no more than 9 minutes to qualify for the race ​
    15·1 answer
  • <img src="https://tex.z-dn.net/?f=F%28x%29%3D3x%5E%7B2%7D%20%2B4x-6G%28x%29%20%3D6x%5E%7B2%7D%20-5x%5E%7B2%7D%20-2" id="TexFormu
    13·2 answers
  • Select the number line that correctly shows the calculation for |-4|. <br> I will give branliest!!!
    14·2 answers
  • The box must hold 15 total soda cans. The box must hold 15 total soda cans. Sara wants to make the box as small as possible in o
    13·1 answer
  • Order these from least to greatest
    5·2 answers
  • If two triangles are congruent, which of the following statements must be true? Check all that apply. A. The corresponding sides
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!