Solve the fractional equation, Mathematics

Assignment Help:

Solve the fractional equation:

Example:

Solve the fractional equation 1/(x-2) +1/(x+3) =0

Solution:

The LCD is (x - 2)(x + 3); therefore, multiply both sides of the equation by (x - 2)(x + 3).

(x - 2)(x + 3)(1/(x-2) + 1/(x+3) = (0)(x - 2)(x + 3))

(x - 2)(x + 3)/(x - 2) + (x - 2)(x + 3)/(x + 3) = 0

(x + 3) + (x - 2) = 0

2x + 1 = 0

Now solve the equation like an ordinary linear equation.

Step 1. Transpose the +1 from the left-hand to the right-hand side of the equation by changing its sign.

2x = 0 - 1

2x = - 1

Step 2. Using Axiom 4, divide both sides of the equation by 2.

2x/2 = -1/2

X = -1/2

Step 3. Check the root.

1/(-(1/2)-2) + 1/(-(1/2)+3) = 1/-2(1/2) + 1/2(1/2) = -2/5 +2/5 = 0

The root checks.


Related Discussions:- Solve the fractional equation

Find intervals while function is increasing or decreasing, Find out all int...

Find out all intervals where the given function is increasing or decreasing. f ( x ) = - x 5 + 5/2 x 4 + 40/3 x 3 + 5 Solution To find out if the function is increasi

Relative measures of dispersion-illustration, Illustration 2 In a ...

Illustration 2 In a described farm located in the UK the average salary of the employees is £ 3500 along with a standard deviation of £150 The similar firm has a local

Proof of the properties of vector arithmetic, Proof of the Properties of ve...

Proof of the Properties of vector arithmetic Proof of a(v → + w → ) = av → + aw → We will begin with the two vectors, v → = (v 1 , v 2 ,..., v n )and w? = w

The sum of two integers is 36 what is the smaller number, The sum of two in...

The sum of two integers is 36, and the difference is 6. What is the smaller of the two numbers? Let x = the ?rst integer and let y = the second integer. The equation for the su

Algebra, find the value of A and B if the following polynomials are perfect...

find the value of A and B if the following polynomials are perfect square:

the height of the tower, A Stone is dropped from the top of the tower and ...

A Stone is dropped from the top of the tower and travel 24.5 m in last second of its journey. the height of the tower is ...?

Definition of infinite limits, Infinite limits : Let's now move onto the d...

Infinite limits : Let's now move onto the definition of infinite limits. Here are the two definitions which we have to cover both possibilities, limits which are positive infinity

What was joe's approximate raw act score, Using the same mean and standard ...

Using the same mean and standard deviation from problem 10 (mean m = 20.1 and a standard deviation s = 5.8). Joe was informed that he scored at the 68 th percentile on the ACT, wh

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