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

Fractions, how do you solve a different fractions

how do you solve a different fractions

Simplification, how to simplify (2p+3q){whole cube} - 18q(4p {square} - 9q ...

how to simplify (2p+3q){whole cube} - 18q(4p {square} - 9q {square})+(2p - 3q){whole cube} using simple formulae ?

#ineedhelp, How do you find perpendicular line equations?

How do you find perpendicular line equations?

Center of the ellipse, Note that the right side has to be a 1 to be in stan...

Note that the right side has to be a 1 to be in standard form.  The point ( h, k ) is called the center of the ellipse. To graph the ellipse all that we required are the left mo

Reflections, The last set of transformations which we're going to be lookin...

The last set of transformations which we're going to be looking at in this section isn't shifts, but in spite of they are called reflections & there are two of them. Reflection

Basic fact, What is a Math Basic Fact?

What is a Math Basic Fact?

Quarditic, what is quarditic equation

what is quarditic equation

Inequalities, Jumping rope can burn 600 calories per hour. Write and solve ...

Jumping rope can burn 600 calories per hour. Write and solve an inequality to find the number of hours of jumping rope that it would take for you to burn at least 450 calories.

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