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
Aloiza [94]
3 years ago
14

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

Mathematics
1 answer:
katen-ka-za [31]3 years ago
8 0
Please include the instructions; I assume your job is to find the value of x.

<span>1/(x+1) - 1/(x+2) = 1/2 would better be written as
   
     1            1            1
</span><span>-------- - ------------ = ----
  x+1           x+2        2

Identify the LCD.  It is (x+1)(x+2)(2).  Mult. all 3 terms of the equation by this LCD:

2(x+2) - 2(x+1) = 2(x+1)(x+2)

We can factor out the 2 from all terms:

x+2 - x - 1 = x^2 + 3x + 2

Let's move all terms from the left to the right side:

 0              = x^2 + 3x + 2 - x - 2 + x + 1

Then x^2 + 3x + 1 = 0.  This is a quadratic with a=1, b=3 and c=1.

What is x?

       -3 plus or minus sqrt( 9-4(1)(1) )        -3 plus or minus sqrt(5)
x = --------------------------------------------- = ---------------------------------
                             2                                                    2

I rather expected to obtain an integer value for x.


Why don't you give this problem a try yourself?  Suggestion:  First mult. every term by 2.  This will give you:

   2          2
------- - ------- = 1   and this may be slightly easier to work with.  Please
 x+1      x+2          give it a try:  try to find x that satisfies this equation. 
                              Important:  note that x cannot equal either -1 or -2.


</span>
You might be interested in
6x - 5y = 11<br> y = 7x + 21<br><br> What is the correct answer to this problem?
evablogger [386]

Answer:

X=-4, y=-7

Step-by-step explanation:

6x-5y=11.     1st equation

y=7x+21    2nd equation

6x-5(7x+21)=11. Sub value of y in 2nd equation (7x+22) into 1st equation

6x-35x-105=11. Solve by distributative property

-29x-105=11.   Add x values

-29x=116.         add 105 to both sides

x=-4.                Solve for x

solve for y:

y=7x+21

y=7(-4)+21

y=-28+21

y=-7

check answer by substituting x and y into either equation

6x-5y=11

6(-4)-5(-7)=11

-24+35=11

11=11

3 0
3 years ago
Determine the exact value of sin 240
iren2701 [21]

simplify : the exact value of sin 240

Explanation: sin(240)=sin(60+180)=-sin60

\begin{gathered} -sin60=-\frac{\sqrt{3}}{2} \\ =-0.87 \end{gathered}

Final answer: the required vaalue of the sin 240 is -0.87

7 0
1 year ago
Write a sentence that describes the relationship between the dependent variable and the independent variable. (Hint: Ratio langu
BartSMP [9]
An Independent variable can change the dependent variable because the independent variable can be changed alone while a dependent variable can also be changed by another variable.

correct me if I am wrong.
5 0
3 years ago
Identify the values of a , b , and c in the following quadratic equation.<br><br> 2 x2 + 3 x + 7 = 0
Liula [17]
Depends on where you are in the math book but this would be the most simple way.
n= number
sqar(-1) = i

8 0
3 years ago
Read 2 more answers
A land mass is roughly in the shape of a rectangle whose perimeter is 1200 miles the width is 120 miles less than the length fin
Ostrovityanka [42]

Answer:

Length: 360. Width: 240.

Step-by-step explanation:

360 * 2 = 720

240 * 2 = 480

720 + 480 = 1,200

7 0
2 years ago
Other questions:
  • Can I get help on this
    12·1 answer
  • Find the product.<br><br> (n + 7)(n - 2)<br><br> n² - 5n - 14<br> n² + 5n - 14<br> n² - 5n + 14
    15·2 answers
  • For questions 2-5, the number of pieces in a regular bag of Skittles is approximately normally distributed with a mean of 38.4 a
    9·1 answer
  • -(x -7) + 5/3 = 2(x + 9)
    11·1 answer
  • Distubrutive property of 739÷5
    15·2 answers
  • A woman has a total of $ 13 , 000 to invest. She invests part of the money in an account that pays 10 % per year and the rest in
    10·1 answer
  • X^3-3x^2=0<br> Write in quadratic form
    7·1 answer
  • Item 3 Simplify $\left(s^{-5}\right)^3$ . Write your answer using only positive exponents.
    10·1 answer
  • Lara created a 15-pound platter of three different types of cookies for a banquet. The peanut butter cookies sell for $2 per pou
    10·1 answer
  • Geoff wants to make a 100 ml of 5% alcohol solution mixing a quantity of a 2% alcohol solution with a 7% alcohol solution. What
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!