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
Phoenix [80]
3 years ago
5

Solve x²+5x+6=0 by completing the square​

Mathematics
1 answer:
Brums [2.3K]3 years ago
4 0

Answer:

x = -2

x= -3

Step-by-step explanation:

x 2+5x+6=0

To solve the equation, factor x^2+5x+6 using formula x^2+(a+b)x+ab=(x+a)(x+b). To find a and b, set up a system to be solved.

a+b=5

ab=6

Since ab is positive, a and b have the same sign. Since a+b is positive, a and b are both positive. List all such integer pairs that give product 6.

1,6

2,3

Calculate the sum for each pair.

1+6=7

2+3=5

The solution is the pair that gives sum 5.

a=2

b=3

Rewrite factored expression (x+a)(x+b) using the obtained values.

(x+2)(x+3)

To find equation solutions, solve x+2=0 and x+3=0.

x=−2

x=−3

You might be interested in
I won $60,000 I invested part in a CD at 2% interest the rest at 3%interest in a cd at the end of the year I earned $1600 in int
zaharov [31]
Let x = amount invested in 2% CD and y = amount invested in 3% CD
x + y = 60000
0.02x + 0.03y = 1600
SOLVE THE 1st EQUATION FOR x AND SUBSTITUTE RESULT IN 2nd
0.02(60000 - y) + 0.03y = 1600  
1200 - 0.02y + 0.03y = 1600
0.03y = 400
y = 13333.34
x = 46666.66
5 0
3 years ago
Read 2 more answers
The graph below shows the relationship between the number of hours and the
Volgvan

Answer:

2.5

Step-by-step explanation:

7 0
3 years ago
Hello please help ty
Amiraneli [1.4K]

Answer:

i think a but not sure

Step-by-step explanation:

i always second guess myself but a was first answer for me

7 0
2 years ago
Read 2 more answers
100 points
STatiana [176]

Answer:

The distance traveled by the B737-400 aircraft in 5 hours is 2,000 miles

Step-by-step explanation:

Average speed = 400 miles per hour

Distance = 400t

t= 5

Total distance = 400t at t hours

Total distance when t = 5 hours

Total distance traveled = 400t

= 400 × 5

= 2,000 miles

Total distance travelled = 2,000 miles

The distance traveled by the B737-400 aircraft in 5 hours is 2,000 miles

hope this helps

7 0
3 years ago
Read 2 more answers
Matt help plus<br> Nskdnisbeineijsbd
mestny [16]

Answer:

Step-by-step explanation:

8 0
3 years ago
Other questions:
  • A bag contains 30 lottery balls numbered 1-30 a ball is selected, not replaced,then another is drawn.find each probability
    12·1 answer
  • Solve for x.<br> 4x - 4 &lt;8<br> AND 9x + 5 &gt; 23
    6·2 answers
  • PLEASE HELPPPP
    13·2 answers
  • Write (8a^-3)^-4/3 in simplest form. <br><br> Please show your work!
    10·2 answers
  • HELP ME PLZZZZZZZZZZZZZZZZZ!!!!!!!!!!
    10·1 answer
  • How to find the area of combined shapes
    10·1 answer
  • Instructions: Use the ratio of a 30-60-90 triangle to solve for the variables. Leave your answers as radicals in simplest form.
    11·2 answers
  • HELPPPPPPPPPPPPP please
    13·1 answer
  • What forms of the following equation in?<br><br> y+5=7(x−3)
    10·2 answers
  • Part 3 of the notes some more coming
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!