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

Math, 1% of what number is 11

1% of what number is 11

., The number of calories needed on a daily basis for a moderately active m...

The number of calories needed on a daily basis for a moderately active male is found to be k(calories)= 1108 + ( w + h - a ) where w is his weight in pounds, h is his height in inc

Negative and positive faction, how do you add and subtract negative and pos...

how do you add and subtract negative and positive faction

Prime factorization tree method, I am trying to figure out how the tree met...

I am trying to figure out how the tree method works for number 47

Word problem, Susan wants to mix 10 pounds of Virginia Peanuts that cost $...

Susan wants to mix 10 pounds of Virginia Peanuts that cost $3.50 a pound with Spanish peanuts that cost $3.00 a pound to obtain a mixture that cost $3.40 a pound. How many pounds

Example of double inequalities, Now, let's solve out some double inequaliti...

Now, let's solve out some double inequalities. The procedure here is alike in some ways to solving single inequalities and still very different in other ways. As there are two ineq

Real estate equation, 50 units for 580 dollars a month, rent increase 625....

50 units for 580 dollars a month, rent increase 625.00 now only 47 units occupied

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