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

Pressure and vorticity distributions, Normal 0 false false ...

Normal 0 false false false EN-IN X-NONE X-NONE

Learning, my math skills are keeping me from getting my ged need help in al...

my math skills are keeping me from getting my ged need help in all areas

Shares and divend, a company of 10000 shares of rs 100 each declares a annu...

a company of 10000 shares of rs 100 each declares a annual dividend of 5 %.what is the total amount dividend paid by the company

Inequation, Solve the inequation: |x|

Solve the inequation: |x|

Determine the area of the regular octagon, Determine the area of the regula...

Determine the area of the regular octagon with the following measurements. a. 224 square units b. 112 square units c. 84 square units d. 169 square units b. See

Substitution rule, Substitution Rule ∫ f ( g ( x )) g′ ( x ) dx = ∫ f (...

Substitution Rule ∫ f ( g ( x )) g′ ( x ) dx = ∫ f (u ) du,     where, u = g ( x ) we can't do the following integrals through general rule. This looks considerably

Business math, David invests $17,000 into an account and at the end of 7 ye...

David invests $17,000 into an account and at the end of 7 years, his account has a balance of $ 26,417.77. What is the interest rate (assuming annual compounding)?

Complex number, The points A,B,C and D represent the numbers Z1,Z2,Z3 and Z...

The points A,B,C and D represent the numbers Z1,Z2,Z3 and Z4.ABCD is rhombus;AC=2BD.if  Z2=2+i ,Z4=1-2i,find Z1 and Z3 Ans) B(2,1) , D(1,-2) Mid Point (3/2,-1/2) Write Equati

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