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
konstantin123 [22]
3 years ago
13

8x=4x^2-1 solve by completing the square

Mathematics
2 answers:
Klio2033 [76]3 years ago
7 0
Get the x terms by themselves on one side and a constant on the other side of the equal sign...

4x^2-8x=1  make the leading coefficient equal to one...

x^2-2x=1/4  now halve the linear coefficient, -2 in this case, square it, and add that value to both sides of the equation...-2/2=-1, -1^2=1 so

x^2-2x+1=1+1/4

x^2-2x+1=5/4  now the left side is a perfect square...

(x-1)^2=5/4  take the square root of both sides...

x-1=±√(5/4)  add 1 to both sides

x=1±√(5/4)
bija089 [108]3 years ago
3 0
Isolate the 1: 4x^2-8x=1
Since "a" is a perfect square use the formula b^2/4a: (-8)^2/4(4)= 4
Add 4 into both sides of the equation:
4x^2-8x+4=1+4
Ur new equation should be:
4x^2 - 8x + 4 = 5
Factor: (2x-2)^2=5
Solve for x by getting the square root of 5 to get rid of the square on the (2x-2)^2 side and you would get:
2x-2 = +-2.2
solve for x: x= 2.1 x= -0.1
You might be interested in
Which two-dimensional net does not represent a three-dimensional rectangular prism?
spin [16.1K]

the second one

Step-by-step explanation:

because if you see good the second one have the dimensional in the same way

7 0
2 years ago
Read 2 more answers
A little girl kicks a soccer ball. It goes 10 feet and comes back to her. How is this possible?
Elanso [62]

She is standing in front of a wall which is 10 feet away when she kicks the ball and it hits the wall and comes back to her by the virtue of Newton's third Law of motion! She kicks the ball into the air vertically above her and the ball rises to 10 feet and then comes back to her by the virtue of gravity!

8 0
2 years ago
Janine has job offer sat two companies. One company offers a starting salary of 28,000 with a raise of 3,000 each year. The othe
DochEvi [55]
28,000 +3,000= 31,000 +3,000 = 34,000 +3,000 = 37,000 +3,000 = 40,000 +3,000 = 43,000 + 3,000 = 46,000

36,000 +2,000= 38,000 +2,000 = 40,000 +2,000 = 42,000 +2,000 = 44,000 +2,000 = 46,000
 
THE SALARY WOULD BE 46,000
 IT WOULD TAKE 6 YEARS

I hope i did that right


3 0
3 years ago
What is 1/3 of 675 is left
Tom [10]
1/3 of 675 is 225
I hope that helps
5 0
3 years ago
One of the tables shows a proportional relationship.
IRINA_888 [86]
The 2nd option is the answer :)!
4 0
3 years ago
Read 2 more answers
Other questions:
  • An oblique prism is created using rhombuses with edge lengths of 25 units. The area of one rhombus is 600 sq units. The perpendi
    13·2 answers
  • Solve the system by substitution.<br> y = 4x + 3<br> y = 72
    11·1 answer
  • A student draws a geometric shape where all of the sides are different lengths. which of the following geometric shapes could th
    5·2 answers
  • Help me plzzzzzzzzzzzz
    11·1 answer
  • How do you find the volume of a cylinder when you know the radius and height
    13·1 answer
  • A flagpole is propped on the east side corner of the roof of a building. The angle of depression from the top of the flagpole (A
    7·1 answer
  • Okay then baby I’m going crazy with my dad and my dad is with the kids so I’m sorry I’m so sleepy lol I’m so sleepy and tired of
    13·1 answer
  • Please help me it will be useful ps i might be heald back
    6·2 answers
  • 2.435 as a mixed number is
    15·2 answers
  • What is $25 at 14% off
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!