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

Algebraic expression, how to convert algebraic expression word to number TH...

how to convert algebraic expression word to number THREE MORE THAN A NUMBER

Quadratic function, Which shows the quadratic function f(x) = 2(x - 4)2 - ...

Which shows the quadratic function f(x) = 2(x - 4)2 - 7 in standard form?

Math, how do you do scientific notation

how do you do scientific notation

Pharmacy, prescription has a 35% mark up with a 5.66 dispense fee one table...

prescription has a 35% mark up with a 5.66 dispense fee one tablet is 15.70 and how much would 3 tablets cost?

College algebra, how to solve the sum of a polynomials

how to solve the sum of a polynomials

Equation, How to find the term in algebraic equation like 9x=18 only harder...

How to find the term in algebraic equation like 9x=18 only harder

Graphing, #question.P(x) = –x2 + 110x – 1,000. P(5), P(50), P(120) plot on ...

#question.P(x) = –x2 + 110x – 1,000. P(5), P(50), P(120) plot on graph

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

Homework question, 75 band members need to raise a total of 8250.00 for a t...

75 band members need to raise a total of 8250.00 for a trip. So far they have raised 3120.00. How much money, in dollars, per band member, still needs to be raised for the trip

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