Determine the solution for linear equations, Algebra

Assignment Help:

Solve following equations.

                          1/(x+1) = 1-   (5/2x - 4)

Solution

Just like along with the linear equations the primary thing which we're going to need to do here is to clear the denominators out through multiplying by the LCD.  Remember that we will also have to note value(s) of x which will give division by zero so that we can ensure that these aren't involved in the solution.

                              1/ (x+1)  = 1 -  (5/2x - 4)

The LCD for this problem is ( x + 1)(2x - 4) and we will have to avoid x =-1 and x = 2 to ensure we don't get division by zero.  Following is the work for this equation.

( x + 1) ( 2x - 4) (1/(x+1))= (x + 1) ( 2 x - 4) (1 -      5/2x - 4)         

2x - 4 = ( x + 1) ( 2 x - 4) - 5 ( x + 1)

2x - 4 =2 x2 - 2 x - 4 - 5x - 5

0 = 2x2 - 9x - 5

0 = ( 2x + 1) ( x - 5)

Thus, it seem like the two solutions to this equation are following,

x =- 1/2           and          x = 5

Notice that neither of these are the values of x which we needed to avoid nor so both are solutions.


Related Discussions:- Determine the solution for linear equations

Scientific notation, The average U.S. citizen consumes about 2.5 × 102 L of...

The average U.S. citizen consumes about 2.5 × 102 L of water per day for various uses. In 2013, there were about 3.16 × 108 U.S. citizens. About how many kiloliters of water were c

Word problem.., In a certain class, one half of the male students and two t...

In a certain class, one half of the male students and two thirds of the female students speak Freanch. If there are three fourths as many girls as boys in the class. What fractio

Probability, of the 400 doctors attending a conference 240 practice family ...

of the 400 doctors attending a conference 240 practice family medicine and 130 were from countries outside the US.1/3 of the family medicine practitioners were not from the US. Wha

Homogeneous system of equations, The reduced row echelon form of  is equa...

The reduced row echelon form of  is equal to R =   (a)  What can you say about row 3 of A? Give an example of a possible third row for A. (b)  Determine the values of

Slope and y intercept, x=4y=12 i dont know how to do this can you please he...

x=4y=12 i dont know how to do this can you please help me??!!

MATHHH HELPPP, the sum of three consecutive odd integers is -195. find the ...

the sum of three consecutive odd integers is -195. find the three integers.

Property illustrations, Name the property illustrated by the following? x...

Name the property illustrated by the following? x + (-x)=0

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd