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

How many days are there in a year, There are m months in a year, w weeks wi...

There are m months in a year, w weeks within a month and d days in a week. How many days are there in a year? In this problem, multiply d and w to obtain the total days in one

Calculate latest triangular area sail for his boat, Rick is order a latest ...

Rick is order a latest triangular sail for his boat. He needs knowing the area of the sail. Which formula will he use? The area of a triangle is 1/2 times the length of the bas

Precalc, I dont understand arcsin and arccos and how to find the domain...h...

I dont understand arcsin and arccos and how to find the domain...help?

Math, what is 24566x12567=

what is 24566x12567=

Common graphs, Common Graphs : In this section we introduce common graph o...

Common Graphs : In this section we introduce common graph of many of the basic functions. They all are given below as a form of example Example   Graph y = - 2/5 x + 3 .

Calculate the height of the tunnel and the perimeter, The adjoining figure...

The adjoining figure shows the cross-section of a railway tunnel. The radius of the tunnel is 3.5m (i.e., OA=3.5m) and ∠AOB=90 o . Calculate : i.       the height of the

Graph all four vectors on similar axis system, The vector a → =(2,4) compu...

The vector a → =(2,4) compute 3a → , ½ a → and -2a → . Graph all four vectors on similar axis system. Solution: Now here are the three scalar Multiplication 3a → = (6,

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