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
anastassius [24]
3 years ago
9

Complete the square x^2+6x-16=0

Mathematics
2 answers:
olya-2409 [2.1K]3 years ago
7 0
X=2 and x= -8
x^2+6x-16=0
1) Move the constant (-16) to the right of the equal sign: x^2+6x = 16 (becomes positive)
2) Make the left side a perfect trinomial by doing half of 6 (3) then squaring it (9). Add 9 to the 16: x^2+6x+9= 16+9. 
3) Factor the left side, then find the sum of the right side: (x+3)^2 = 25
4) Take the square root of both sides: x+3 =(+/-) 5 (remember it's both positive & negative).
The equation will look like x+3= - 5 and x+3=5

5) solve the two equations: x= -8 and x=2

When you put the x-values back into the problem, it should come out 0. 

Hope this helps




strojnjashka [21]3 years ago
6 0
Let's solve your equation step-by-step:
x^2+6x-16=0
Factor the left side of the equation:(x-2)(x+8)=0
Set factors equal to 0: x-2=0 or x+8=0, x=2 or x=-8
Your answer is x=2 or x=-8, doesn't matter which, both are correct.
Hope this helps!:)
You might be interested in
Suppose that the duration of a particular type of criminal trial is known to be normally distributed with a mean of 22 days and
Alika [10]

Answer:

25.5 days

Step-by-step explanation:

Mean number of days (μ) = 22 days

Standard deviation (σ) = 6 days

Z-score for the 72nd percentile (according to tabulated values) = 0.583

The z-score for any number of days, X, is determined by:

z=\frac{X-\mu}{\sigma}

The value of X that is greater than 72% of the trial times is:

0.583=\frac{X-22}{6}\\ X=25.5\ days

Therefore, 72% of all of these types of trials are completed within 25.5 days.

6 0
3 years ago
What is the final elevation of:
Lilit [14]

Answer:

the fish has a final elevation of negative 2

Step-by-step explanation:

4 0
3 years ago
I will give brainiest to whoever answers correctly !!
son4ous [18]
August 22nd should be the date 120 days after April 24th
7 0
3 years ago
How to simplify 7+(-8) )​
FinnZ [79.3K]

It would be -56, just multiply as normal

8 0
3 years ago
Read 2 more answers
X=7; 4x + 8/2=??? Explain
AlladinOne [14]

Answer:

Step-by-step explanation:

4(7)+8/2

28+4

=32

7 0
3 years ago
Other questions:
  • Gretchen lives in Florida, for the current temperature 69°F and rising at a rate of 2°F per hour. She's talking on the phone to
    12·2 answers
  • Which could the coordinates of the vertices of the following isosceles trapezoid centered in the origin, with base 2a and OR=c?
    12·1 answer
  • When a product is raised to a power, it is equal to the product of each factor raised to that power. Show that this rule does no
    9·1 answer
  • Please help me it’s due tomorrow
    5·1 answer
  • Is 1 pint equivalent explain
    6·1 answer
  • Your Teacher gives you a number cube with 1-6 faces. You are asked to state a theoretical probability model for rolling it once.
    14·1 answer
  • Can someone help me. Will Mark brainliest.
    9·1 answer
  • What is the answer to 5 divided by 1/3
    12·2 answers
  • 13. Which of the following shows the equation below after it has been simplified?
    14·2 answers
  • What is the value of 5 to the power of 4 times 5 to the power minus 6
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!