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
pickupchik [31]
3 years ago
12

Which statement best reflects the solution(s) of the equation? 1/x+1/x−3=x−2/x−3

Mathematics
2 answers:
PolarNik [594]3 years ago
7 0

Answer:

Option A) There is only one solution: x = 1. The solution x = 3 is an extraneous solution.                

Step-by-step explanation:

We are given the following equation:

\displaystyle\frac{1}{x} + \frac{1}{x-3} = \frac{x-2}{x-3}

Solving the given equation, we have:

\displaystyle\frac{1}{x} + \frac{1}{x-3} = \frac{x-2}{x-3}\\\\\frac{2x-3}{x(x-3)}=\frac{x-2}{x-2}\\\\2x-3 = x^2 - 2x\\x^2 - 4x + 3 = 0\\x^2 - x-3x + 3 = 0\\x(x-1)-3(x-3) = 0\\(x-3)(x-1) = 0\\x =1, x=3

Extraneous solutions:

  • An extraneous solution is not a root of the original equation because it was excluded from the domain of the original equation.
  • We may arrive to this solution but cannot consider it as a solution because it is not valid.

But x = 3 cannot be a solution to the given equation as when put in the given equation it gives denominator zero.

Thus, x = 1 is the solution of the given equation and x = 3 is an extraneous solution.

Virty [35]3 years ago
5 0
It is a i hope that help
You might be interested in
Find the m∠SAQ.<br><br><br> 44°<br><br><br> 46°<br><br><br> 57°<br><br><br> 77°
dimulka [17.4K]

Answer:

X=57

Step-by-step explanation:

77+46+X=180

123+X=180

X=180-123

X=57

7 0
3 years ago
Read 2 more answers
Which expression is equivalent to 3/5x +3
Makovka662 [10]
3/5 c 3 + 3 is equivalently
4 0
2 years ago
A 16 oz bottle of fruit punch costs $2.40. A 24 oz. bottle of fruit punch costs $3.84. Which size costs less per ounce?
mart [117]
The 16 oz bottle costs less. One cent less, to be exact. I came up with this by dividing the total cost (2.40) by the size of the bottle (16). I came up with .15. I did the same with the other cost and size, coming up with .16.
6 0
3 years ago
Slope from two points: (4, 4) and (7, -2)
BaLLatris [955]

Answer:

2

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Write an expression for the operation described below.<br> the product of 2 and c
PtichkaEL [24]

Answer:

2<em>c</em> or 2 x <em>c</em>

Step-by-step explanation:

Product means multiplication, they put 2 first then c last.

Hope this helps

~R3V0

3 0
3 years ago
Other questions:
  • Ravi made 6 identical necklaces, each having beads and a pendant. The total cost of the beads and pendants for all 6 necklaces w
    14·1 answer
  • Label the net for the figure below with its dimensions.
    12·2 answers
  • Susan has a part time job. She earns $7 an hour. She earns at most $143.50 a week. What is the greatest number of hours that she
    8·1 answer
  • 432 divided by the difference between 279 and 63
    14·2 answers
  • The circumference of a circle is 6.28 meters. What is the circle's radius?<br> C = 6.28 m
    15·1 answer
  • Can someone please solve this?<br>I'm stuck and I don't know how​
    11·2 answers
  • Today is my exam so are you guys ready to help me?​
    5·2 answers
  • six men completed a task in 24 hours and 48 minutes. how long would it take four men to complete the same task
    12·1 answer
  • What are the coefficients of the expression -sup(x,2)+9x?
    10·1 answer
  • Newton's Law of Cooling states that the rate of change of the temperature of an object, T, is proportional to the difference of
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!