Solve the fractional equation, Mathematics

Solve the fractional equation:


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


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.

Posted Date: 2/9/2013 2:43:26 AM | Location : United States

Related Discussions:- Solve the fractional equation, Assignment Help, Ask Question on Solve the fractional equation, Get Answer, Expert's Help, Solve the fractional equation Discussions

Write discussion on Solve the fractional equation
Your posts are moderated
Related Questions
Sketch the direction field for the subsequent differential equation. Draw the set of integral curves for this differential equation. Find out how the solutions behave as t → ∞ and

450 girls were surveyed about their favorite sport, 24% said in which basketball is their favorite sport, 13% said in which ice hockey is their favorite sport, and 41% said which s

the area of a triangle is 20 and its base is 16. Find the base of a similar triangle whose area is 45. Given is a regular pentagon. Find the measure of angle LHIK.

Draw a line segment AB of length 4.4cm. Taking A as centre, draw a circle of radius. 2cm and taking B as centre, draw another circle of radius 2.2cm. Construct tangents to each cir

27-125 a power -135a +225a power2

Series - Convergence/Divergence In the earlier section we spent some time getting familiar with series and we briefly explained convergence and divergence.  Previous to worryin

UNDETERMINED COEFFICIENTS The way of Undetermined Coefficients for systems is pretty much the same to the second order differential equation case. The simple difference is as t

(1)   The following table gives the joint probability distribution p (X, Y) of random variables X and Y. Determine the following: (a) Do the entries of the table satisfy

Twelve coworkers go out for lunch together and sequence three pizzas. Each pizza is cut within eight slices. If each person gets the similar number of slices, how many slices will