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

How to add fractions involving negative numbers, Q. How to add fractions In...

Q. How to add fractions Involving Negative Numbers? Ans. Adding fractions involving negative numbers, and subtracting them, are only slightly different. But, I'll write do

Eometyr, Lines EF and GH are graphed on this coordinate plane. Which point ...

Lines EF and GH are graphed on this coordinate plane. Which point is the intersection of lines EF and GH?

If tana+sina=m and tana-sina=n, If tanA+sinA=m and tanA-sinA=n, show that m...

If tanA+sinA=m and tanA-sinA=n, show that m 2 -n 2 = 4√mn Ans:    TanA + SinA = m       TanA - SinA = n. m 2 -n 2 =4√mn . m 2 -n 2 = (TanA + SinA) 2 -(TanA - SinA) 2

Determine the size of the proposed repayments, Five years ago a business bo...

Five years ago a business borrowed $100,000 agreeing to repay the principal and all accumulated interest at 8% pa compounded quarterly, 8 years from the loan date. Two years after

Find the maxima or minima and green theorem, 1) find the maxima and minima ...

1) find the maxima and minima of f(x,y,z) = 2x + y -3z subject to the constraint 2x^2+y^2+2z^2=1 2)compute the work done by the force field F(x,y,z) = x^2I + y j +y k in moving

Distinct roots, There actually isn't a whole lot to do throughout this case...

There actually isn't a whole lot to do throughout this case.  We'll find two solutions which will form a basic set of solutions and therefore our general solution will be as,

Shares and dividends, to use newspaperto study and report on shares and div...

to use newspaperto study and report on shares and dividend

Pair of linear equations in two variables, PAIR OF LINEAR EQUATIONS IN TWO ...

PAIR OF LINEAR EQUATIONS IN TWO VARIABLES: Like  the  crest  of a  peacock so  is  mathematics  at the  head of all knowledge. Example At a certain time in a deer park, t

Convert to scientific notation, 1 . If someone is 20 years old, deposits $3...

1 . If someone is 20 years old, deposits $3000 each year into a traditional IRA for 50 years at 6% interest compounded annually, and retires at age 70, how much money will be in th

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