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

Logarithms, How to solve this: log x(81) = 4

How to solve this: log x(81) = 4

Triple integrals, Consider a circular disc of radius 1 and thickness 1 whic...

Consider a circular disc of radius 1 and thickness 1 which has a uniform density 10 ?(x, y, z) = 1. (a) Find the moment of inertia of this disc about its central axis (that is, the

Fraction, how do you add fraction

how do you add fraction

What is the maximum volume of rectangular box, 1. A rectangular piece of ca...

1. A rectangular piece of cardboard measuring 26 inches by 42 inches is to be made into a box with an open top by cutting equal size squares from each comer and folding up the side

Mental math, i dint get how to do math promblems

i dint get how to do math promblems

Rounding, i need somehelp i am not the sharpest in the pack so plz help me ...

i need somehelp i am not the sharpest in the pack so plz help me thank you i hope you do

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