Example of fractional equations, Mathematics

Assignment Help:

Example of Fractional Equations:

Example:

Solve the fractional equation (3x +8)/x +5 =0

Solution:

Multiply both sides of the equation by the LCD (x).

(x) ((3x +8)/x +5) = (0) (x)

3x + 8 + 5x = 0

8x + 8  = 0

Now solve the equation such as an ordinary linear equation.

Step 1. Transpose the +8 from the left-hand to the right- hand side of the equation by changing its sign.

8x = 0 - 8

8x = -8

Step 2. Using Axiom 4, divide both sides of the equation by 8.

8x/8 = -8/8

x = -1

Step 3. Check the root.

(3(-1)+8)/-1 +5 = (-3+8)/-1 +5 = -5 + 5 =0

The root checks.


Related Discussions:- Example of fractional equations

Find the value of p and q for which the system of equations, Find the value...

Find the value of p and q for which the system of equations represent coincident lines 2x +3y = 7, (p+q+1)x +(p+2q+2)y = 4(p+q)+1 Ans: a 1  = 2, b 1 = 3, c 1 = 7 a 2  =

upper and lower limits, A critical dimension of the service quality of a c...

A critical dimension of the service quality of a call center is the wait time of a caller to get to a sales representative. Periodically, random samples of 6 customer calls are mea

What is the vertex form for a quadratic equation, What is the Vertex Form f...

What is the Vertex Form for a Quadratic Equation ? The vertex form for a quadratic function is as follows: f(x) = a(x - h) 2 + k The graph of this function Is a parabola whos

Addition and subtraction of rational expressions, Now come to addition and ...

Now come to addition and subtraction of rational expressions.  Following are the general formulas.  (a/c) + (b/c) = (a + b)/c

6, 200000+500

200000+500

Eometry constructions, construct an isosceles triangle ABC when:base BC is ...

construct an isosceles triangle ABC when:base BC is 6.2 and altitude a.a

Proof of root test - sequences and series, Proof of Root Test  Firstly...

Proof of Root Test  Firstly note that we can suppose without loss of generality that the series will initiate at n = 1 as we've done for all our series test proofs.  As well n

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