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]
3 years ago
12

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

Mathematics
1 answer:
notsponge [240]3 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
What is volume? Give an example of an object that has volume
Gnom [1K]
Volume is a measure if the amount of space occupied by that object, and every 3D shapes have volume. To find volume, you need three dimensions which are length, width, and height :D
4 0
3 years ago
A cricket team has a 0.25 chance of losing
Westkost [7]

Answer:

a) 0.125

b) 0.015635

c) 0.00000095367431640625‬

Step-by-step explanation:

a) 0.25^2 = 0.125

b) 0.25^3 = 0.015625

c) 0.25^{10} = 0.00000095367431640625\\\\

8 0
3 years ago
Read 2 more answers
How many ounces in 2 pints
Elis [28]

Answer:

32 US Fluid Ounces

More Details would be nice though if i'm incorrect.

6 0
3 years ago
Read 2 more answers
A video game is now being sold at 22% off for a price of $31.20. What was the original price of the video game?
BabaBlast [244]
Answer:

$38.06

Explanation:

Multiply $31.20 by 0.22 (22%)
Which equals 6.864
Add that to $31.20 and you get 38.064
Then you round it and get $38.06
5 0
2 years ago
Solve for y.<br> 2 (y-2) = 4y + 8 - 2 (-4y - 3)
Lubov Fominskaja [6]

Answer:

-1.5

Step-by-step explanation:

  • 2 (y-2) = 4y + 8 - 2 (-4y - 3)
  • 2y-4=4y+8+8y+6
  • 2y-4=12y+14
  • -4-14=14y-2y
  • -18=12y
  • y=-18/12
  • y=-1.5
5 0
3 years ago
Read 2 more answers
Other questions:
  • HELP!!!!!!!!!!!!!!!!!!!!!!ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
    11·1 answer
  • Find the value of z. A. 141 B. 110 C. 80 D. 100
    15·1 answer
  • Which of the following functions is graphed below?
    8·2 answers
  • 9.045 round to the nearest tenth
    11·1 answer
  • The five-number summary of a data set is: 0, 4, 6, 14, 17
    11·1 answer
  • Two roller coasters are vying for the title of the steepest drop the first ride has a hill that drops 140 feet in a 40 foot run
    11·1 answer
  • Which algebraic expression is polynomial?
    10·1 answer
  • Is it option one or two?
    9·2 answers
  • Please help..Thank you❤️
    8·2 answers
  • CAN YOU ANSWER THIS QUESTION
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!