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

Defining real numbers, The numbers used to measure quantities such as lengt...

The numbers used to measure quantities such as length, area, volume, body temperature, GNP, growth rate etc. are called real numbers. Another definition of real numbers us

Show that 8 - 10 + 21= 0, If A, B and P are the points (-4, 3), (0, -2) and...

If A, B and P are the points (-4, 3), (0, -2) and (α,β) respectively and P is equidistant from A and B, show that 8α - 10β + 21= 0. Ans :   AP = PB ⇒ AP 2 = PB 2 (∝ + 4) 2

How many teachers are there at russell high, There are 81 women teachers at...

There are 81 women teachers at Russell High. If 45% of the teachers in the school are women, how many teachers are there at Russell High? Use the proportion part/whole = %/100.

Triple integral transformed, An elliptical galaxy has gravitational boundar...

An elliptical galaxy has gravitational boundaries defiend by 9x 2 +16y 2 +144z 2 =144. A black hole at the center of the galaxy is interacting with dark matter producing a radiatio

Rank correlation coefficient, Rank Correlation Coefficient Also ident...

Rank Correlation Coefficient Also identified as the spearman rank correlation coefficient, its reasons is to establish whether there is any form of association among two vari

Rolles therom, f(x)=sin x+cos x in the interval {0,90}

f(x)=sin x+cos x in the interval {0,90}

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