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
Gnoma [55]
2 years ago
7

8/x-5 - 9/x-4 = 5/x^2-9x+20

Mathematics
1 answer:
adelina 88 [10]2 years ago
7 0
If you're using the app, try seeing this answer through your browser:  brainly.com/question/2752942

_______________


Solve the equation:

\mathsf{\dfrac{8}{x-5}-\dfrac{9}{x-4}=\dfrac{5}{x^2-9x+20}\qquad\qquad(x\ne 5~and~x\ne 4)}


Reduce the fractions at the left side so that they have the same denominator:

\mathsf{\dfrac{8(x-4)}{(x-5)(x-4)}-\dfrac{9(x-5)}{(x-4)(x-5)}=\dfrac{5}{x^2-9x+20}}\\\\\\
\mathsf{\dfrac{8x-32}{x^2-4x-5x+20}-\dfrac{9x-45}{x^2-4x-5x+20}=\dfrac{5}{x^2-9x+20}}\\\\\\
\mathsf{\dfrac{8x-32}{x^2-9x+20}-\dfrac{9x-45}{x^2-9x+20}=\dfrac{5}{x^2-9x+20}}\\\\\\
\mathsf{\dfrac{8x-32-(9x-45)}{x^2-9x+20}=\dfrac{5}{x^2-9x+20}}


Numerators must be equal:

\mathsf{8x-32-(9x-45)=5}\\\\
\mathsf{8x-32-9x+45=5}\\\\
\mathsf{8x-9x=5+32-45}\\\\
\mathsf{-x=-8}\\\\
\mathsf{x=8}\quad\longleftarrow\quad\textsf{this is the solution.}


I hope this helps. =)


Tags:  <em>rational equation fraction solution algebra</em>

You might be interested in
What is -4/9 x -5/8 this is for math
SIZIF [17.4K]
0.2778 this is the answer for your question
5 0
3 years ago
Read 2 more answers
Easy math please help
Vaselesa [24]
A and D
Explanation: I did this problem in khan academy
3 0
2 years ago
I need answer. Please help me.​
Vanyuwa [196]

I think it’s positive. As it gets heavier, the cost has a positive slope, or increases. I’m not absolutely sure though

6 0
3 years ago
Read 2 more answers
When sound is created it travels to the ear through a
dusya [7]

Answer:

medium

Step-by-step explanation:

The right answer is Medium, because to travel through the ear the sound wave must go through the ear drum.

3 0
3 years ago
Read 2 more answers
What is the mean of 86,87,95,96,88,94, and 98 please help me I need it soo much
Novosadov [1.4K]
The mean would be 92. Because you add them all up then divide by how many there are
5 0
3 years ago
Other questions:
  • Help me please.... #5
    11·1 answer
  • Triangle def has vertices d(2,-5) e(6,-1) and f(5,6) verify that def is isosceles
    10·1 answer
  • A field is 150 yards long and 50 yards wide. Find it's area in square feet
    13·1 answer
  • Find the equation of the line that is parallel to the line y = -1/4x+ 5 passing through the point (4,2)​
    9·1 answer
  • The slant height of a regular square pyramid is longer than its altitude.
    9·2 answers
  • Lois wants to send a box of oranges to a friend by mail. the box of oranges cannot exceed a mass of 10 kg. if each orange has a
    15·1 answer
  • The drama club is selling short-sleeved shirts for $5 each, and long-sleeved shirts for $10 each. They hope to sell all of the s
    14·2 answers
  • 13 points if you can help....Using a map, Harriet measured the distance between two cities as 275 miles. The actual distance is
    7·2 answers
  • When f(x) =-3 what is x?
    8·2 answers
  • Am I correct? (Perfect Square Form)
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!