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
Ghella [55]
3 years ago
11

Follow the process of completing the square to solve 2x2 + 8x - 12 = 0.

Mathematics
1 answer:
Rom4ik [11]3 years ago
8 0
Please:  Use "^" to denote exponentiation:  <span>2x^2 + 8x - 12 = 0

Reduce this by div. every term by 2:             </span><span>x^2 + 4x - 6 = 0

Here a=1, b=4 and c = -6.  Square half of b, obtaining (4/2)^2 = 4, and add, and then subtract, this 4 to x^2 + 4x - 6:

</span> x^2 + 4x +4  - 4 - 6 = 0.  Rewrite the square as (x+2)^2, obtaining new equation

(x+2)^2 = 10.  Take the sqrt of both sides:   x+2 = plus or minus sqrt(10).

Finally, solve for x:  x = -2 plus or minus sqrt(10).



You might be interested in
The temperature of the pool water started at 82 degrees, and it is cooling down 0.4 degrees each hour. If the water temperature
Sidana [21]

Answer:

We have the same homework!!!!

hours that passed= 10

Step-by-step explanation:

(1st step)We start with the expression:

(1st)82-0.4x=78

"STARTED at 82 degrees" 82

"Cooling DOWN 0.4 degrees" -0.4

"EACH hour" x

"NOW 78 degrees" =78

(2nd step) We want to get the variable x alone, so we have to do the opposite sign they have, to cancel the number out for it to be 0.

(1st) 82 -0.4x =78

(2nd) -82 ÷-0.4 =78

(3rd)Now, you work out the problem (transfer the numbers from the left to the right). First, you have to do the subtraction sign, not sure why.

(1st) 82 -0.4x =78

(2nd) -82 ÷-0.4 =78

(3rd) 78 -82= -4

-4÷-0.4= 10

X= 10

there you have it!

To make sure this is correct, you do the following.

82 -0.4 x 10

Solve using PEMDAS

-0.4 x 10 = -4

its time to add 82.

82 - 4 = 78

78 is the exact temperature that was said in the problem

3 0
2 years ago
1769.9 in hours and secs<br><br> i need help
shusha [124]

Answer:

6,371,640 Seconds

Step-by-step explanation:

1hr=3600

1769.9x3600=6,371,640

5 0
3 years ago
Jorge is 1 year younger than his brother. The sum of their ages is no less than 25 years.
Elodia [21]
X-1 has to be less than 25
5 0
3 years ago
Read 2 more answers
A store advertises a sale that all items are
Sergio039 [100]

Step-by-step explanation:

true. 30% of 68 is 20.40 if it was 30 percent off it would be 47.60 and it's is 3.40 more off so it is true that it is 30% or more

7 0
2 years ago
In the figure below, points A, B, and C are ______ points because they lie on the same line.
Nutka1998 [239]

Answer:

A, B, C are Collinear points

Step-by-step explanation:

5 0
3 years ago
Other questions:
  • One number is four times another. the greater number is xx. write an expression for the lesser number.
    15·1 answer
  • If f(x) and g(x) are quadratic functions but (f+g)(x) produces true graph below, hutch statement must be true ?
    12·1 answer
  • 2 ( 4x - 3 ) - 8 = 4 + 2x Giving me a headache
    14·2 answers
  • What is the distance between points F(2, 11) and G(5, 16)? Round off to the nearest whole number
    6·1 answer
  • How do you know which one is the smallest one?
    11·1 answer
  • Х = 3y – 5<br> 2х + 12y = -4<br> Solve system of equations
    5·1 answer
  • Create a step function for the following graph, be sure to watch holes in the graph. NEED HELP ASAP!
    7·1 answer
  • Find the first 5 terms of the arithmetic sequence given that: an = 2n - 2
    5·1 answer
  • Please help me I have to turn this in by 5:00 I will give you the brain thing and extra points. 3/5
    6·2 answers
  • Is almost always better to cite exact numbers rather than to round statistics up or down true or false
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!