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
Law Incorporation [45]
3 years ago
5

X^2+6x-6=0 rewritten by completing the square

Mathematics
1 answer:
Pie3 years ago
4 0

Hello from MrBillDoesMath!

Answer:

(x+3)^2 -15 = 0



Discussion:

To complete the square add (and then subtract) the square of one-half the coefficient of x:


x^2 + 6x -6 = 0 =>

                 -- complete the square part --

x^2 + 6x +   (6/2)^2 - (6/2)^2                    - 6 = 0 =>

x^2 + 6x + 9 - 9 - 6 = 0 =>                                               as 6/2 = 3

(x + 3)^ 2      - 9  - 6 = 0 =>                                    

(x+3)^2 -15 = 0

We can solve this as follows:

(x+3)^2 = 15                                               take square root of both sides

(x+3) = +\- sqrt(15)

x = -3 +\- sqrt(15)


Thank you,

MrB

You might be interested in
What is the length of CD? In this diagram
julia-pushkina [17]
What diagram?????????????
3 0
2 years ago
Read 2 more answers
¯¯¯¯¯¯ J K is a tangent to circle C . If m ∠ K J L = 27 °, What is m ˆ K L ?
iragen [17]

Answer: I think 13

Step-by-step explanation:

5 0
3 years ago
20 POINTS!!! Find the vertex of the quadratic function given below. f(x)=(x-4)(x+2)
irga5000 [103]

The vertex of  f ( x )  is at  x  =  − 8/ 2   =  − 4

3 0
3 years ago
Factor the polynomials 2x4+4x3+6x2?
Shalnov [3]

Answer:x^2+2x+3

Step-by-step explanation:

I’m assuming you meant 2x^4+4x^3+6x^2...

So you can pull out 2x^2 from all of the polynomials...

And this equation isn’t able to be simplified anymore. Hope this helps!

5 0
3 years ago
Hannah has $400 to spend on vacation. She is going to be gone for 3 days. What is the most she
eimsori [14]

Answer:

I'll spend about maybe $80

Step-by-step explanation:

So I can have fun also this is a joke not real answer >:D

8 0
3 years ago
Other questions:
  • A certain food has a gluten ratio of 13mg per L of the food.what is the gluten ratio in micrograms per milliliter? PLEASE HELP M
    14·2 answers
  • I need help finding the median and the mode for number 5
    5·2 answers
  • What is the y-intercept?<br> f(x) = -2x2 + 4x - 6
    9·1 answer
  • Help pls. the question is in the picture at the top.
    8·2 answers
  • Christian has six grades from test and IXL. They are all weighted equally. If Christian's grades are 100,96,96,88,70, and 100, w
    14·1 answer
  • Question 2 (1 point)
    7·1 answer
  • Round-Trip Cost ($) Departure City Atlanta Salt Lake City Cincinnati 340.1 570.1 New York 321.6 354.6 Chicago 291.6 465.6 Denver
    9·1 answer
  • It takes Shawn 4 more hours to stain a deck than Michelle. Together it takes them 4.8 hours to complete the work. How long would
    11·1 answer
  • Help me! I'll give brainliest.
    7·2 answers
  • The functions f and g are defined as follows.
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!