Solve the extraneous solutions, Mathematics

Assignment Help:

Solve the Extraneous Solutions ?

You're worst enemy (aside from arithmetic mistakes), while you're trying to solve a rational equation, is forgetting to check for extraneous solutions (things that look like solutions but aren't). The moment you find yourself multiplying both sides of an equation by anything involving variable, extraneous solutions become a possibility.

Your defense will be good bookkeeping. This does not come automatically. It takes practice, Here's what you need to do. As you do your exercises, watch for the step when you clear denominators. At that point, write a little note to yourself that there might be extraneous solutions. And keep writing it down on each line, until you're done.

Here's another worked-out example, together with the kind of notes you should write:

216_Extraneous Solutions.png

Although 7 is indeed a solution to the original equation, 2 is not. The only solution is 7.

(So why don't you see your teacher making notes like this? Because math teachers have enough experience to keep the information in their heads. If you're good enough to "take notes" like this in your head, that's great. If not... well, you know what to do!)


Related Discussions:- Solve the extraneous solutions

DECIMALS, the mass of a container is 5.81kg when full with sugar .the mass ...

the mass of a container is 5.81kg when full with sugar .the mass of container is 3.8kg when 3/8 of the sugar is removed.what is the mass of empty container

Find the rate at which its tip is moving, If the minute hand of a big clock...

If the minute hand of a big clock is 1.05 m long, find the rate at which its tip is moving in cm per minute.

What is the maximum amount of hours cindy worked together, Carl worked thre...

Carl worked three more than twice as many hours as Cindy did. What is the maximum amount of hours Cindy worked if together they worked 48 hours at most? Let x = the amount of h

Mr F.D, how you divide 100 by 10 and then x by 10

how you divide 100 by 10 and then x by 10

Evaluate limit, Evaluate the given limit. Solution: In this quest...

Evaluate the given limit. Solution: In this question none of the earlier examples can help us. There's no factoring or simplifying to accomplish.  We can't rationalize &

Algebra, sir/madam, i abdulla working as a maths teacher want to join ur es...

sir/madam, i abdulla working as a maths teacher want to join ur esteemed organisation as a tutor how can i proceed i have created an account even pls guide me, thanks abdulla

Repeated eigenvalues, It is the last case that we require to take a look at...

It is the last case that we require to take a look at. During this section we are going to look at solutions to the system, x?' = A x? Here the eigenvalues are repeated eigen

Calculus, I need help fast with my calculus work

I need help fast with my calculus work

Triangle, in triangle abc ab=ac and d is a point on side ac such that bc*bc...

in triangle abc ab=ac and d is a point on side ac such that bc*bc=ac*cd. prove that bc=bd

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