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

Introduction to Algebra, I need help with my Discussion 1 for week 5 please...

I need help with my Discussion 1 for week 5 please. w^2 + 30w + 81 and ac + xc + aw^2 + xw^2 and last one is x^4 - x^3

Word Problem, Preston wants to build a cement patio that will be 8 meters b...

Preston wants to build a cement patio that will be 8 meters by 11 meters. It will cost $1.84 per square meter to build. What will be the total cost of the patio?

Relationship between the graph of a function and its inverse, There is inte...

There is interesting relationship among the graph of function and its inverse. Here is the graph of the function & inverse from the first examples. We'll not deal along with the

Math, 1% of what number is 11

1% of what number is 11

Graphing polynomials, In this section we are going to look at a technique f...

In this section we are going to look at a technique for getting a violent sketch of a general polynomial. The only real information which we're going to required is a complete list

Linear equations, one no. is 7 more than another and its square is 77 more ...

one no. is 7 more than another and its square is 77 more than the square of the smaller number.What are the numbers?

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