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
vichka [17]
3 years ago
10

Solve for x use the completing the square method x^2+6x=5

Mathematics
2 answers:
vitfil [10]3 years ago
8 0

Answer:

x=−3±√14

<em>Hope this helps! </em>

Mrac [35]3 years ago
5 0

Answer:

x_{1} =-3 +\sqrt{14} \\\\x_{2} =-3 -\sqrt{14}

Step-by-step explanation:

x^{2}+6x-5=0

we divide the coefficient of the X by half :

in this case: 6/2 = 3 , then we do the following

The result obtained is raised to square power:  3^2=9

we sum and subtract by 9 to maintain the balance of the equation:

x^{2}+6x+9-9-5=0

we have:

(x+3)^{2}-9-5=0

(x+3)^{2} = 14

lets apply square root on both sides of the equation:

\sqrt{(x+3)^{2}}=\sqrt{14}

we know:

\sqrt{a^{2}} = abs(a)

so we have:

abs(x+3)=\sqrt{14}

from where two solutions are obtained

x_{1} + 3 =\sqrt{14} \\\\x_{2} + 3 =-\sqrt{14}

finally we have:

x_{1} =-3 +\sqrt{14} \\\\x_{2} =-3 -\sqrt{14}

You might be interested in
A tea infuser in the shape of a right rectangular pyramid is 7.9 cm tall and has a base 3 cm long and 1.5 cm wide. To make the b
kaheart [24]

Answer:

  • 28.44 cm³

Step-by-step explanation:

<u>Full volume is:</u>

  • V = lwh
  • V = 3*1.5*7.9 = 35.55 cm³

<u>Volume of tea required:</u>

  • 35.55*80/100 = 28.44 cm³
4 0
3 years ago
Solve and explain how you got the answer :
sweet [91]
15 people
You need to save $30 and each person after 10 saves you $2 so 30/2=15
6 0
3 years ago
What position did Theodore Roosevelt hold before he became president?
BlackZzzverrR [31]

Answer:

He served as Assistant Secretary of the Navy under President William McKinley

hope i helped

-lvr

3 0
3 years ago
Item 1 A bag contains 7 blue cards, 4 green cards, 6 red cards, and 8 yellow cards. You randomly choose a card. a. How many poss
egoroff_w [7]

Answer:

4 possible outcomes

Step-by-step explanation:

we know that

The probability of an event is the ratio of the size of the event space to the size of the sample space.  

The size of the sample space is the total number of possible outcomes  

The event space is the number of outcomes in the event you are interested in.  

so  

Let

x------> size of the event space

y-----> size of the sample space  

so

P=\frac{x}{y}  

In this problem

<em>The probability of choose a blue card is </em>

x=7

y=7+4+6+8=25

substitute

P=\frac{7}{25}

<em>The probability of choose a green card is </em>

x=4

y=7+4+6+8=25

substitute

P=\frac{4}{25}

<em>The probability of choose a red card is </em>

x=6

y=7+4+6+8=25

substitute

P=\frac{6}{25}

<em>The probability of choose a yellow card is </em>

x=8

y=7+4+6+8=25

substitute

P=\frac{8}{25}

The sum of the probabilities of the 4 possible outcomes  is equal to

\frac{7}{25}+\frac{4}{25}+\frac{6}{25}+\frac{8}{25}=\frac{25}{25} ----> represent the 100%

4 0
3 years ago
What is 16 trillion in decimal form
JulijaS [17]
16000000000000.
Hope it helped
3 0
3 years ago
Read 2 more answers
Other questions:
  • Find the slope of the line passing through the points (-2, 9) and (-10, 33).
    9·1 answer
  • (98 Points!) X = The total amount of people in a coffee shop. 18 People leave the coffee shop. Represent the equation.
    14·1 answer
  • Technician A says that a ratio is a comparison between two values. Technician B says that in a compression ratio, the main value
    9·1 answer
  • The equation of line one is 3x – 2y = 5. The equation of line two is x + 2y = 7. What is the point
    9·2 answers
  • A real estate agent sells a house for $87,000. She gets a commission of 6% on the sale. What is her commission?
    14·2 answers
  • Two years ago, Rita was three times older than Cheryl. In 3 years, Rita will be twice older than Cheryl. How old are the girls n
    9·2 answers
  • Cube root of b to the 27 power​
    15·1 answer
  • Heyyyyyyy again, can you please help me?
    7·1 answer
  • Solve the following quadratic equation for all values of x in simplest form.
    6·1 answer
  • Describe in detail how you would create a number line with the following points: 1, 3.25, the opposite of 2, and – (–4fraction o
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!