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

Combinations, evaluate the expression a) 10C4 b) 10P4.....I do not under...

evaluate the expression a) 10C4 b) 10P4.....I do not understand this

Piecewise, x=±4, if -2 = y =0 x=±2, if -2 = y = 0

x=±4, if -2 = y =0 x=±2, if -2 = y = 0

Fractions, how to divide fractions?

how to divide fractions?

Dynamath, The canister of the nerf super soaker washout holds 22 ounces of ...

The canister of the nerf super soaker washout holds 22 ounces of water. say you use 1/2 of the water. how much water is left in the canister

Home work, can you hepl me with my home i dont understand it!!!

can you hepl me with my home i dont understand it!!!

Calculate the average return, A department store faces a decision for a sea...

A department store faces a decision for a seasonal product for which demand can be high, medium or low. The purchaser can order 1, 2 or 3 lots of this product before the season beg

Union operations using union by weight, Show the result of the following se...

Show the result of the following sequence of UNION operations using union-by-weight with the following assumptions Unions are performed on the representatives on the sets th

Definition of differential equation, The first definition which we must cov...

The first definition which we must cover is that of differential equation. A differential equation is any equation that comprises derivatives, either partial derivatives or ordinar

What is multiplying fractions, What is Multiplying Fractions ? The rule...

What is Multiplying Fractions ? The rule for multiplying fractions is to "multiply across": Multiply the numerators to get the numerator of the answer. Multiply the den

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