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
Luba_88 [7]
3 years ago
5

Solve for x: 5/x^2-4+2/x=2/x-2

Mathematics
1 answer:
IRINA_888 [86]3 years ago
6 0

\dfrac{5}{x^2 - 4} + \dfrac{2}{x} = \dfrac{2}{x - 2}


\dfrac{5}{(x + 2)(x - 2)} + \dfrac{2}{x} = \dfrac{2}{x - 2}


\dfrac{5}{(x + 2)(x - 2)} \times x(x + 2)(x - 2) + \dfrac{2}{x} \times x(x + 2)(x - 2) = \dfrac{2}{x - 2} \times x(x + 2)(x - 2)


5x + 2(x + 2)(x - 2) = 2x(x + 2)


5x + 2(x^2 - 4) = 2x^2 + 4x


5x + 2x^2 - 8 = 2x^2 + 4x


5x - 8 = 4x


x - 8 = 0


x = 8


Now we look at the common denominator.

It is x(x + 2)(x - 2).

x cannot be zero, -2 or 2 because that would cause a zero in the denominator.

Since we get x = 8, and x = 8 does not have to be excluded from the domain, the answer is x = 8.


Answer: x = 8

You might be interested in
Calculate the area of a square with a side length of 12 cm.
inna [77]

Answer:

24 cm squared

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
-5x - 35= -15<br> -5x = 25<br> X =
Zigmanuir [339]
X= -5 because you divide -5x by -5 to get x alone so you have to 25/-5 which is -5
3 0
3 years ago
Someone answer quick please for brainliest !
Rina8888 [55]

Answer:

The equation of the line is

y =  -  \frac{1}{2} x +  \frac{5}{2}

Step-by-step explanation:

Equation of a line is

y = mx + c

Where m is the slope

c is the y intercept

y = 2x + 3

Comparing with the above formula

m is 2

Since the lines are perpendicular the slope of the other line is the negative inverse of the original line .

That's

m = - 1/2

Equation of the line using point (1,2) and slope - 1/2 is

y - 2 = -1/2(x - 1)

y - 2 = -1/2x + 1/2

y = -1/2x + 1/2 + 2

The final answer is

y =   - \frac{1}{2} x +  \frac{5}{2}

Hope this helps you.

8 0
3 years ago
Solve for x for brainiest
saul85 [17]
Lovee the nails!!!


my guess is x=28

hope this helps!!! :))
7 0
2 years ago
Betsy was in a car accident. Her monthly insurance payment of $225 will now be increased by 25%. How much will her monthly payme
sleet_krkn [62]

Answer:

281.25 that is the answer

5 0
2 years ago
Other questions:
  • I need help with 14 and 15
    10·1 answer
  • Bob is training for a race,Bob ran 14.6 miles away from his home,then Bob ran9.8miles toward his home, finally Bob ran 5.3miles
    6·2 answers
  • Who was a Mexican american who fought for Texan independence from mexico and later became a Texas senator.
    15·1 answer
  • The dimensions of a square are altered so that 8 inches is added to one side while 3 inches is subtracted from the other. The ar
    12·1 answer
  • Translate the figure 1 unit left and 2 units up.
    8·1 answer
  • (8b^3-6)/(2b-1) long division
    11·1 answer
  • $2.95+$3.09+$5.85+$4.10
    9·2 answers
  • Help needed ASAP it’s geometry
    13·1 answer
  • In order for an object to be a polygon it must have (choose the best answer) *
    13·2 answers
  • A mealworm crawled 2.1 meters in 6 minutes. At this rate, how many meters did the mealworm crawl in 1 minute
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!