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

Help me , The city of Eden would like to put in a new street that runs para...

The city of Eden would like to put in a new street that runs parallel to Harrington Highway because of traffic issues. The equation of Harrington Highway is y = -2x + 7. What wil

Example of earthquake intensity, Example    If 8 ×10 14  joules of energy ...

Example    If 8 ×10 14  joules of energy is released at the time of an earthquake what was the magnitude of the earthquake? Solution There actually isn't much to do here o

Square root property, The second method of solving quadratics is square roo...

The second method of solving quadratics is square root property,                                                  If p 2   = d          then       p =±d There is a (potential

Is/of x/100, find the percent up or down: 75 to 110

find the percent up or down: 75 to 110

Geometry, If you have a ten by ten mile square and one square of land is pe...

If you have a ten by ten mile square and one square of land is perserved for a cementary how many cementaries can you fit in one square. There are fourty-six cementaries.

Ixl, 2.51 x 10^14 >

2.51 x 10^14 >

Algebraic Equation, The sum of digits of a number is 9 If the digits of the...

The sum of digits of a number is 9 If the digits of the number are reversed the number increases by 45 What is the original number?

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