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

Integers, how do we add integers

how do we add integers

Modeling Data, The number in millions of people in the U.S. living below po...

The number in millions of people in the U.S. living below poverty level is shown for selected years. Find a degree 3 polynomial model for the data, where x is the number of years p

Linear inequalities, To this instance in this chapter we've concentrated on...

To this instance in this chapter we've concentrated on solving out equations.  Now it is time to switch gears a little & begin thinking regarding solving inequalities.  Before we g

Solve equation by geometric standpoint, Solve each of the following.    ...

Solve each of the following.                              |x - 2 | = 3x + 1 Solution At first glance the formula we utilized above will do us no good here.  It needs the

Algerbra I, I have 4 word problem on my review that I cant figure out. Can ...

I have 4 word problem on my review that I cant figure out. Can you help me?

Combining functions, The topic along with functions which we ought to deal ...

The topic along with functions which we ought to deal with is combining functions.  For the most part this means performing fundamental arithmetic (subtraction, addition, multiplic

Homework question help, Karen is 62 1/2 Inches tall . Her mother is 5 3/4 ...

Karen is 62 1/2 Inches tall . Her mother is 5 3/4 inches taller. How tall is Karen''s mother?

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