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

PAIR OF linear equation in two variable, REENA HAS PENS AND PENCILS WHICH T...

REENA HAS PENS AND PENCILS WHICH TOGETHER ARE 40 IN NUMBER.IF SHE HAS 5 MORE PENCILS AND 5 LESS PENS,THEN THE NUMBER PENCILS WOULD BECOME 4 TIMES THE NUMBER OF PENS.FIND THE ORIGIN

Inequalities, How do i know where to shade on an inequalitie graph

How do i know where to shade on an inequalitie graph

Facts about function composition, We have to note a couple of things here r...

We have to note a couple of things here regarding function composition.  Primary it is NOT multiplication. Regardless of what the notation may recommend to you it is simply not

Linear eqation in one variable, there are some benches in a class room if ...

there are some benches in a class room if 4 student sit on each benche 3bencha are left vacant and if 5 student sit each benche 3 student are left standing how many student are the

Quadratic formula, Quadratic Formula It is the final method for solving...

Quadratic Formula It is the final method for solving quadratic equations & it will always work.  Not only that, although if you can recall the formula it's a fairly simple proc

Real distinct solutions, By Using the discriminant find out which solution ...

By Using the discriminant find out which solution set we obatin for each of the following quadratic equations.                                           13x 2 +1= 5x Soluti

Greatest Common Factor, How do you get the answer to Greatest Common Factor...

How do you get the answer to Greatest Common Factors.

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