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
nevsk [136]
2 years ago
12

Explain how you know which method you should use to solve a rational equation.

Mathematics
1 answer:
notsponge [240]2 years ago
7 0

<u>Methods to solve rational equation:</u>

Rational equation:

A rational equation is an equation containing at least one rational expression.

Method 1:

The method for solving rational equations is to rewrite the rational expressions in terms of a common denominator. Then, since we know the numerators are equal, we can solve for the variable.

For example,

\frac{1}{2}=\frac{x}{2}\Rightarrow x=1

This can be used for rational equations with polynomials too.

For example,

\frac{1+x}{x-3}=\frac{4}{x-3}\Rightarrow(1+x)=4 \Rightarrow x=3

When the terms in a rational equation have unlike denominators, solving the equation will be as follows

\frac{x+2}{8}=\frac{3}{4}

\Rightarrow\frac{x+2}{1}=\frac{3\times8}{4}\Rightarrow{x+2}=2\times3

\Rightarrow{x+2}=6\Rightarrow x=6-2\Rightarrow x=4

Method 2:

Another way of solving the above equation is by finding least common denominator (LCD)

\frac{x+2}{8}=\frac{3}{4}

Factors of 4: 1\times2\times2

Factors of 8: 1\times2\times2\times2

The LCD of 4 and 8 is 8. So, we have to make the right hand side denominator as 8. This is done by the following step,

\Rightarrow\frac{x+2}{8}=\frac{3}{4}\times{2}{2}

we get,

\Rightarrow\frac{x+2}{8}=\frac{6}{8}

On cancelling 8 on both sides we get,

\Rightarrow(x+2)=6\rightarrow x=6-2\rightarrow x=4

Hence, these are the ways to solve a rational equation.

You might be interested in
Which sentence explains the correct first step in the solution of this equation? 4 • (x – 3) = 9
Maurinko [17]
B: Apply the distributive property to get 4x - 12=9
4 0
3 years ago
Read 2 more answers
The ratio of the number of people who own a cat to the number of people who own a dog is 5:7. If there are 12 more people who ow
topjm [15]

Answer:

30 people own a cat

Step-by-step explanation:

6 0
3 years ago
A batch consists of 12 defective coils and 88 good ones. Find the probability of getting two good coils when two coils are rando
Allushta [10]

<u>Answer:</u>

The probability of getting two good coils when two coils are randomly selected if the first selection is replaced before the second is made is 0.7744  

<u>Solution:</u>

Total number of coils = number of good coils + defective coils = 88 + 12 = 100

p(getting two good coils for two selection) = p( getting 2 good coils for first selection ) \times p(getting 2 good coils for second selection)

p(first selection) = p(second selection) = \frac{\text { number of good coils }}{\text { total number of coils }}

Hence, p(getting 2 good coil for two selection) = \frac{88}{100} \times \frac{88}{100} =\bold{0.7744}

5 0
2 years ago
What is 3/5 times 1/3 in simplest form
djverab [1.8K]
3/5×1/3=1/5×1/1=1/5 so 1/5 is you answer
8 0
3 years ago
Read 2 more answers
My product is 30. The differencd of the two factors is 1. The zum of the two factors is 11. What numbers am i
timurjin [86]
A * b = 30
a - b = 1
a + b = 11

take ur last 2 equations, and add them
a - b = 1
a + b = 11
--------------add
2a = 12
a = 12/2
a = 6

now its just a matter of subbing
a + b = 11
6 + b = 11
b = 11 - 6
b = 5

so a = 6 and b = 5...whose product is 30, whose difference is 1, and whose sum is 11.
5 0
2 years ago
Other questions:
  • PLEASE HELP ME!!! I NEED THIS REALLY SOON OR I WILL FAIL! What are some measurements that might be easier if we worked in the me
    13·1 answer
  • 42° N LATITUDE , 83°W longitude​
    14·1 answer
  • For breakfast perry adds 1/8 cups of berries to his oatmeal.He has 7/8 cup of berries in his fridge.How many days can he have br
    15·1 answer
  • Libby reads 32 pages in 16 minutes. How many pages can Libby read in an hour?
    5·1 answer
  • Inverse function of exponential function
    11·1 answer
  • Simplify fully: (Question is on the photo).
    7·2 answers
  • What is -0.14 written as a decimal
    11·2 answers
  • A family went out to dinner. The cost of their meal was $689, before sales tax and tip.A sales tax of 8% was added.
    6·1 answer
  • Connor can travel 2 3/4 miles in 2 1/2 hours. What is his average speed in miles per hour?
    11·1 answer
  • Suppose you have rolled a six-sided die fifty times and recorded the result of each roll.
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!