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

Trichotomy, use the given matrix to preform the operation R1+2R2 and select...

use the given matrix to preform the operation R1+2R2 and select the correct option. 3, -2, 1 1, -3, 4 1, -2, 0 a. 3, -2, 1 5, -8, 9 1, -2, 0 b. 3, -2, 1 2, -6, 8 13,

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?

Example of horizontal shifts, By using transformations sketch the graph of ...

By using transformations sketch the graph of the given functions.                                          h ( x ) = ( x + 2) 3 Solution With these we have to first ide

Solving Absolute Value Equations, When is a problem an empty set and when d...

When is a problem an empty set and when do you have to solve for two problems when doing an equation?

Find out the symmetry of equations, Find out the symmetry of equations. ...

Find out the symmetry of equations.                                                  y = x 2 - 6x 4 + 2 Solution First we'll check for symmetry around the x-axis. It

Standard test problems, a national park keeps track of how many people per ...

a national park keeps track of how many people per car enter the park. today, 57 cars had 4 people, 61 cars had 2 people, 9 cars had 1 person, and 5 cars had 5 people. what si the

Ratio, Veronica''s family ordered 2 pizzas that cost $13.75 each and 2 pitc...

Veronica''s family ordered 2 pizzas that cost $13.75 each and 2 pitchers of soda that cost $3.95 each. The total cost included a sales tax of 5.5%. They left 20% of the total cost

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