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
kramer
1 year ago
14

Solve the equation by completing the square. x²+6x-4=0​

Mathematics
1 answer:
zavuch27 [327]1 year ago
5 0

Answer:

<u>x = √13 - 3</u>

<u>x = -√13 - 3</u>

Step-by-step explanation:

Given :

  • x² + 6x - 4 = 0

Solving :

  • x² + 6x + 9 - 9 - 4 = 0 [Adding and subtracting 9]
  • (x + 3)² - 13 = 0 [Group the square term together]
  • (x + 3)² -13 + 13 = 0 + 13 [Add 13 on both sides]
  • √(x + 3)² = √13 [Taking square root on both sides]
  • x + 3 - 3 = ±√13 - 3 [Subtract 3 from both sides]
  • x = ±√13 - 3

Solutions :

  1. <u>x = √13 - 3</u>
  2. <u>x = -√13 - 3</u>
You might be interested in
A restaurant served 27,500 customers in 2012. In 2014, the restaurant served 29,000 customers. Write a linear model that represe
rjkz [21]

Answer:

In 2012, a restaurant served 27,500 customers and in 2014, the restaurant served 29,000 customers.

First determine the increase in the number of customer served each year.

the number of customer increase in each year is,  \frac{29000-27500}{2} =\frac{1500}{2} =750

therefore, the linear model is;

y = 750x+ 27500 , where y represents the number of customers that the restaurant serves x years after 2012.

Now, to predict the number of customers that the restaurant will serve in 2020 is;

since, x = 2020-2012 = 8 years

y = 750 \times 8 +27500 or

y= 6000+27500=33,500

therefore, the number of customers that the restaurant will serve in 2020 = 33,500


3 0
3 years ago
What is the measure of XY?
Sladkaya [172]

y and z are the same so the answer is 90.

7 0
3 years ago
Read 2 more answers
Solve for x thanks!!!!!
IrinaK [193]

Answer:

x=5

Step-by-step explanation:

Since the angle with the expession and the one that has a measure of 58 and corresponding, they have equal measure. This helps us write an equation-

12x-2=58

now, solve

-2+2=0, 58+2=60

12x=60

12x/12=60/12

x=5

hope this helps:)

please crown me brainliest!!!

3 0
2 years ago
Read 2 more answers
Nina has some nickles and 9 pennies in her pocket her friend Maurice has twice as many nickles as Nina together their coins are
kotykmax [81]
I think if we add 34 + 9 + 20 + 21 + is = 84
7 0
3 years ago
6th Grade Math! Complete the function table and write the function rule. Please explain, since this is a written answer. Tysm!
ICE Princess25 [194]

Answer:

Its subtract 12.

Step-by-step explanation:

The first question mark is positive 6.

6-12= -6

The second question mark is  -22.

Negative 10 minus 12 equals negative 22

Once you understand integers, it will be really easy. I was in 6th grade last year.

4 0
3 years ago
Other questions:
  • What coin has the same as the 25 pennies
    5·2 answers
  • If x/-9=-18 what does x equal
    10·2 answers
  • Simplify.n 6 · n 5 · n 4 ÷ n 3 · n 2 ÷ n
    6·1 answer
  • A survey of 1000 air travelers1 found that prefer a window seat. The sample size is large enough to use the normal distribution,
    11·1 answer
  • To solve this equation: d/5 + 12 = -15, which step will be performed last?
    5·1 answer
  • Find the area of a rectangle that is 8 ft long and 4 ft wide.
    6·2 answers
  • The world population is increasing exponentially. Do you think that the trend will continue forever? Explain why or why not.
    7·2 answers
  • Jessica can shoot 10 photos in 10 minutes how may photes can she take in 1 hour
    12·2 answers
  • Factor the trinomial.<br><br> 6x² + 5x − 6
    7·1 answer
  • If one-third of one-fourth of a number is 15, then three-tenth of that number is:
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!