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
SVEN [57.7K]
4 years ago
6

Use the method of completing the square to transform the quadratic equation into the equation form (x + p)2 = q.

Mathematics
2 answers:
allochka39001 [22]4 years ago
7 0

Answer:

(x + 1/4)^2 = -15/16

Step-by-step explanation:

Gelneren [198K]4 years ago
5 0
<span>divide both sides of the equation by 2 to get: 

(x + 1/4)^2 = -7/16 ***** this is your solution. 

continue further to solve for x if you care to, but the problem did not require you to do this. 

take the square root of both sides of the equation to get: 

x + 1/4 = plus or minus sqrt(-7/16) 

subtract 1/4 from both sides of the equation to get x = -1/4 plus or minus sqrt(-7/16). 

since sqrt(-7/16) is the same as sqrt(7/16) * i, your solution becomes: 

x = -1/4 plus or minus sqrt(7/16) * i. 

your problem was to convert it to the form of (x + p)2 = q. 

the solution to that is: 

</span><span>(x + 1/4)^2 = -7/16 </span><span>subtract 1 from both sides of the equation to get: 

2x^2 + x = -1 

factor out a 2 on the left side of the equation to get: 

2 * (x^2 + x/2) = -1 

complete the squares on x^2 + x/2 to get: 

2 * ((x+1/4)^2 - (1/16)) = -1 

simplify by distibuting the multiplication to get: 

2 * (x+1/4)^2 - 2*(1/16) = -1 

simplify further to get: 

2 * (x+1/4)^2 - 1/8 = -1 

add 1/8 to both sides of the equation to get: 

2 * (x + 1/4)^2 = -7/8 .



</span>
You might be interested in
What do you subtract from -3 td get positive 4?*
kogti [31]

Answer:

7

Step-by-step explanation:

3 0
3 years ago
Simplify the expression and explain each step
zhuklara [117]

(3x +2)-2

-2(3x) -2( +2)   Distribute the -2

-6x  - 4


20B  - 16

 /4           divide out a greatest common factor

4(5b - 4)

4 0
3 years ago
Translate the sentence into an equation. Two less than the quotient of a number and 7 equals 8 . Use the variable y for the unkn
CaHeK987 [17]
I believe the answer would be 
(x/7)-2= 8
7 0
3 years ago
Need help asap
goblinko [34]

Answer:

b. 7x3 + 9x2 - 3x - 8

Step-by-step explanation:

Write the problem as a mathematical expression.

(4x3+6x2+2x−3)+(3x3+3x2−5x−5)

Remove parentheses.

4x3+6x2+2x−3+3x3+3x2−5x−5

Add 4x3

and 3x3

.

7x3+6x2+2x−3+3x2−5x−5

Add 6x2

and 3x2

.

7x3+9x2+2x−3−5x−5

Subtract 5x

from 2x

.

7x3+9x2−3x−3−5

Subtract 5

from −3

.

7x3+9x2−3x−8

4 0
3 years ago
Greatest to least 2.007;2.714;2.09;2.97
Rama09 [41]
2.007
2.714
2.09
2.97

greatest to least : 2.97 , 2.714, 2.09, 2.007
5 0
4 years ago
Read 2 more answers
Other questions:
  • URGENT PLEASE HURRY I'M RUNNING OUT OF TIME!!!!!
    11·1 answer
  • at a future showing of the movie 23 jump street-men in black,28 of the 160 attendees will buy popcorn.what percentage of the att
    10·1 answer
  • Is -0.2929292929 a rational kr Irrational number?
    13·1 answer
  • Need some help please (WILL MARK YOU BRAINIEST)
    7·2 answers
  • The collection of whole numbers is an example of a set
    9·1 answer
  • Translate 48 divided by the sum of 3 and 9 into a numerical expression
    6·1 answer
  • I cant see the answers anyone else has the problem
    5·1 answer
  • 14 T 1,000 lb. + 2 T 1,000
    14·1 answer
  • Tonya bought a square piece of poster board that had an area of 144 square inches. Which is the length of one side of the poster
    15·2 answers
  • Write a one step equation and a two step equation that both have 8 as a solution
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!