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
zmey [24]
3 years ago
13

Determine the next step for solving the quadratic equation by completing the square. 0 = –2x2 + 2x + 3 –3 = –2x2 + 2x –3 = –2(x2

– x) –3 + = –2(x2 – x + ) = –2(x – )2 = (x – )2 The two solutions are
Mathematics
2 answers:
VLD [36.1K]3 years ago
8 0
We have that
0 = –2x²<span>+ 2x + 3
</span>

Group terms that contain the same variable, and move the constant to the opposite side of the equation

(–2x²+ 2x)=-3

Factor the leading coefficient 

-2*(x²-x)=-3

Complete the square. Remember to balance the equation by adding the same constants to each side

-2*(x²-x+0.25)=-3-0.50

Rewrite as perfect squares

-2*(x-0.5)²=-3.50

(x-0.5)²=-3.50/-2

(x-0.5)²=1.75------> square root both sides

(+/-)(x-0.5)=√7/2

(+)(x-0.5)=√7/2----> (√7/2)+0.5----> x=1.823

(-)(x-0.5)=√5/2-----> x=0.5-(√7/2)----> x=-0.823

the solutions are

x=1.823

x=-0.823

guapka [62]3 years ago
5 0

Answer:

-1/2, 1/4, 1/2

Step-by-step explanation:

You might be interested in
The blueprint for a new swimming pool uses the scale 3/4
beks73 [17]

Answer:

3 in wide by 4.5 in long.

Step-by-step explanation:

3/4=0.75

I divided the given dimensions by two, so I could multiply .75 by the sets of twos instead of dividing 3/4 by two and multiplying that by 12 and 8.

.74 x 4 = 3

.75 x 6 = 4.5

7 0
3 years ago
(09.02 MC) Which of the following tables shows the correct steps to transform x2 + 10x + 24 = 0 into the form (x − p)2 = q? [p a
Vladimir79 [104]

Answer: step 2

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
1,-2,3,-4,5... <br><br> what’s the next two numbers in the pattern?
MrMuchimi

Answer:

The two numbers following 1,-2,3,-4,5...  are -6 and 7.

Step-by-step explanation:

index:   1   2   3   4   5 ....

value:    1  -2  3  -4   5

Let the index be n.  Then the first term is a(1), the secon is a(2), and so on.

a(2) = 2*(-1)^(2-1) = 2*(-1) = -2 (correct)

a(3) = 3*(-1)^(3-1)   =  3*(-1)^2 = 3 (correct)

a(4) = 4*(-1)^(4-1)    = 4*(-1)^3 = -4 (correct)

So the general formula for a(n)  is:    a(n)=n(-1)^(n-1)

Thus,

a(5) = 5(-1)^4 = 5

a(6) = 6(-1)^5 = -6

a(7) = 7(-1)^6 = 7

The "next two numbers in the pattern" are -6 and 7.  The first 7 numbers are

1,-2,3,-4,5, -6, 7

4 0
3 years ago
Find the area of each figure.
cricket20 [7]
Figure A. is going to be 60 square feet and Figure B. is going to be 67.

7 0
3 years ago
The expression (x2 + 16x + 64) – (x + 8)(x – 4) can be rewritten as k(x + 8). What is the value of k? k =
9966 [12]

expanding \\  {x}^{2}  + 16x + 64 - ( {x}^{2}  + 4x - 32)  \\ distributing \:  - 1 \\  {x}^{2}  + 16x + 64 -  {x}^{2}  - 4x + 32 \\ 12x + 96 \\ take \: a \: factor \: of \: 12 \\ 12(x + 8) \\ so \: k = 12
5 0
3 years ago
Other questions:
  • How do I solve for x:<br><br> (4/9)^(x) • (8/27)^(1-x) =2/3
    15·2 answers
  • Completing the Square to Write in Ve
    14·1 answer
  • Solve four ninths plus nine eighteenths
    8·2 answers
  • Select all the irrational numbers
    12·1 answer
  • What is 12/25 divided by 4
    12·2 answers
  • Simple Easy Question 10 point just for a answer
    14·1 answer
  • Given the table, how can you calculate pi?
    9·2 answers
  • 25 minutes before 9 at night is written as _:__p.m.​
    14·1 answer
  • Help needed asap pleas3​
    10·1 answer
  • Type the missing number that makes these fractions equal: 1 2 = 2
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!