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
LekaFEV [45]
3 years ago
10

Solve x^2-8x=3 by completing the square. Which is the solution set of the equation

Mathematics
2 answers:
Ivenika [448]3 years ago
6 0

For this case we have the following expression:

x ^ 2-8x = 3

We must complete squares.

So:

We divide the middle term between two and we square it:

(\frac {-8} {2}) ^ 2, then:

x ^ 2-8x + (\frac {-8} {2}) ^ 2 = 3 + (\frac {-8} {2}) ^ 2\\x ^ 2-8x + (- 4) ^ 2 = 3 + 16

We have to, by definition:

(a-b) ^ 2 = a ^ 2-2ab + b ^ 2

Then, rewriting:

((x-4) ^ 2 = 19

To find the roots, we apply square root on both sides:

x-4 = \sqrt {19}

We have two solutions:

x_ {1} = \sqrt {19} +4\\x_ {2} = - \sqrt {19} +4

Answer:

((x-4) ^ 2 = 19\\x_ {1} = \sqrt {19} +4\\x_ {2} = - \sqrt {19} +4

kkurt [141]3 years ago
4 0

Answer:

{-0.36, 8.36) to the nearest hundredth.

Step-by-step explanation:

x^2 - 8x = 3

(x - 4)^2 - 16 = 3

(x - 4)^2 = 19

Taking square roots:

x - 4 = +/- √19

x =  4 +/- √19

x = {-0.36, 8.36} to nearest 1/100.

You might be interested in
The Ferris wheel shown makes 14 revolutions per ride. How far would someone travel during one ride? Round your final answer to t
sammy [17]

Answer:

2374.8 feet

Step-by-step explanation:

 

5 0
2 years ago
Divide 1.20m in the ratio 2:3:4 in a clear way
tatuchka [14]
2:3:4 gives 9 equal parts.
1.20 divided by 9 is 0.133.

2 * 0.133 would be 0.266m
3 * 0.133 would be 0.399m
4 * 0.133 would be 0.533m

To check this calculate 0.533 + 0.399 + 0.266 would be 1.198m (close enough)
4 0
3 years ago
When you multiply a function by -1, what is the effect on its graph?
Dafna1 [17]

9514 1404 393

Answer:

  B.  The graph flips over the x-axis

Step-by-step explanation:

When you plot the coordinate pair (x, y), you plot the point 'y' units above the x-axis. If you change the sign of that (multiply the function by -1), then the point becomes (x, -y), and is plotted 'y' units below the x-axis.

The graph flips over the x-axis.

__

Attached is an example of a function with its original graph (red) and the graph after being multiplied by -1 (blue). The blue graph is a reflection of the red graph across the x-axis.

5 0
2 years ago
Can somebody please solve question 11 for me?
Amanda [17]
See photo for complete solution

8 0
3 years ago
If u answer this question i will give you 100 points i swear
tamaranim1 [39]

Answer: point W

Step-by-step explanation:

5 0
2 years ago
Other questions:
  • steve herr is an architect in minneapolis, minnesota. his latest project is designing a park. on the blueprint, the park is dete
    5·1 answer
  • Emelina wrote the equation of a line in point-slope form as shown below.
    15·2 answers
  • What is the gcf of of -9y^2 + 6y
    14·1 answer
  • Is the square root of 9 a real number
    10·1 answer
  • Plot a point C that divides the segment into the<br> ratio AC:AB= 3/4
    7·1 answer
  • Lane bought 12 pencils for
    15·1 answer
  • What is 365 x 8=???????
    5·1 answer
  • Y= -5x +10<br> y= -2x-2<br> solve by substituions
    9·1 answer
  • Fish are sold at 10 for $8.64. What will be the cost of 16 fish
    10·1 answer
  • Which expression is equivalent to 8.7u + 1.4 + 3.2u - 9.5?
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!