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]
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:

You might be interested in
Can any one help with me this one please
goblinko [34]

Answer:

∠ e = 40°

Step-by-step explanation:

Since Δ ABC and Δ EDC are congruent then corresponding angles are congruent, that is

∠ A = ∠ E = 40°

8 0
3 years ago
¿De qué manera influye la ética en el hombre a partir de su función crítica? Explique.
Radda [10]

Answer:

La ética es una rama de la filosofía que se ocupa de la reflexión crítica sobre las acciones de los hombres. En un sentido general, la ética busca establecer los criterios para juzgar si una acción puede calificarse de correcta o incorrecta, y para evaluar los motivos y consecuencias de dicha acción. Las cuestiones éticas también juegan un papel importante en la política, los negocios y la medicina, y en campos de la ciencia y el estudio como la historia, la biología y la sociología, la ética de la profesión es ocasionalmente un tema de discusión.

Así, la ética implica una evaluación de las acciones de las personas, calificándolas como correctas o incorrectas a los ojos de la sociedad. De esta manera, influye en la forma en que las personas realizan o dejan de realizar una determinada acción, ya que estas consideran sus consecuencias positivas o negativas al momento de realizarla.  

7 0
3 years ago
6-10 divide, another onee thank you!!​
eduard

Answers:

10.) \displaystyle \pm{5}

9.) \displaystyle 1\frac{1}{2}

8.) \displaystyle \pm{1\frac{1}{2}}

7.) \displaystyle \pm{1\frac{1}{2}}

6.) \displaystyle \pm{\frac{1}{2}}

Step-by-step explanations:

10.) \displaystyle \frac{\sqrt{200}}{\sqrt{8}} \hookrightarrow \sqrt{25} \hookrightarrow \frac{\pm{10\sqrt{2}}}{\pm{2\sqrt{2}}} \\ \\ \boxed{\pm{5}}

9.) \displaystyle \frac{\sqrt[3]{135}}{\sqrt[3]{40}} \hookrightarrow \sqrt[3]{3\frac{3}{8}} \hookrightarrow \frac{3\sqrt[3]{5}}{2\sqrt[3]{5}} \\ \\ \boxed{1\frac{1}{2}}

8.) \displaystyle \frac{\sqrt[4]{162}}{\sqrt[4]{32}} \hookrightarrow \sqrt[4]{5\frac{1}{16}} \hookrightarrow \frac{\pm{3\sqrt[4]{2}}}{\pm{2\sqrt[4]{2}}} \\ \\ \boxed{\pm{1\frac{1}{2}}}

7.) \displaystyle \frac{\sqrt{63}}{\sqrt{28}} \hookrightarrow \sqrt{2\frac{1}{4}} \hookrightarrow \frac{\pm{3\sqrt{7}}}{\pm{2\sqrt{7}}} \\ \\ \boxed{\pm{1\frac{1}{2}}}

6.) \displaystyle \frac{\sqrt{12}}{\sqrt{48}} \hookrightarrow \sqrt{\frac{1}{4}} \hookrightarrow \frac{\pm{2\sqrt{3}}}{\pm{4\sqrt{3}}} \\ \\ \boxed{\pm{\frac{1}{2}}}

I am joyous to assist you at any time.

5 0
2 years ago
A radio station had 100 tickets to a concert. They gave away 3thimes as many tickets to listeners as to employees. How many tick
natali 33 [55]

Answer:

They gave away 75 tickets to the listeners and 25 to the employees.

Step-by-step explanation:

If you think about it the function for this would be f(x)=3x+x=100.

3x is the listeners while x is the employees. A simplified version of solving this is doing 100/4 and then 25 times 1 is 25, which is the number of tickets to emplyees.

5 0
3 years ago
Greta bought three 15-pounds bags of dry dog food.Her dog eats 10 ounces of dry dog food each day.After how many days will Greta
sdas [7]
72 days

there are 720 ounces total (convert 45 pounds to 720 ounces)
divide that by the 10 ounces per day and get 72 days
8 0
3 years ago
Read 2 more answers
Other questions:
  • In each box is a step in the process of solving a max/min problem like the one in Question 8. Number these steps in order (1-8)
    12·1 answer
  • The binomial 10x +55 is equivalent to
    9·1 answer
  • what is an equation of the line that passes through the point (8,0) and is parallel to the line x -4y=20
    9·1 answer
  • Carter is going to invest $79000 and leave it in an account for 12 years. Assuming the interest is compounded continuously, what
    10·1 answer
  • I need help finding x please?
    14·2 answers
  • Find the area of the figure.<br> PLS I NEED HELP FAST I BEG YOU!
    9·1 answer
  • 1. A store priced a textbook at $126.75 using a markup of 34% of cost.
    14·1 answer
  • A bakery offers a sale price of $3.05 for 6 muffins what is the price per dozen
    7·1 answer
  • Is this positive or negative? ( slopes ) y= -2/3 x - 1
    6·1 answer
  • I tried this few times in yeah so i could not find it.
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!