Example of absolute value equations, Algebra

Assignment Help:

Solve following.

                                 |2x - 5 |= 9

Solution

Now, recall that absolute value does not just make all minus signs in plus signs. In order to solve these we've got to employ the formula above as in all cases the number on the right side of the equal sign is positive.

There actually isn't much to do here other than using the formula from above as noted above.  All we have to note is that in the formula above p represents whatever is on the inside of the absolute value bars and so in this case we have,

                                                           2 x - 5 = -9          or    2 x - 5 = 9

At this instance we've got two linear equations which are easy to solve.

2 x = -4           or         2 x = 14

x = -2  or       x = 7

Thus, we've got two solutions to the equation

                      x = -2 and    x =7 .

 

Now, let's take a look at how to deal with equations for which b is zero or negative.  We'll do this with an example.


Related Discussions:- Example of absolute value equations

Basic fact, What is a Math Basic Fact?

What is a Math Basic Fact?

Absolute value equations, In the last two sections of this chapter we desir...

In the last two sections of this chapter we desire to discuss solving equations & inequalities that have absolute values.  We will look at equations along with absolute value in th

Example of function evaluations, Given  f ( x ) = x 2 - 2 x + 8 and  g( x ...

Given  f ( x ) = x 2 - 2 x + 8 and  g( x ) = √(x+ 6) evaluate f (3) and g(3) Solution Okay we've two function evaluations to do here and we've also obtained two functions

Augmented matrices, In this section we have to take a look at the third met...

In this section we have to take a look at the third method for solving out systems of equations.  For systems of two equations it is possibly a little more complex than the methods

Help, Need solutions to two problems, y=x+4;(-7,1) y=-1/2x+1; (4,2)

Need solutions to two problems, y=x+4;(-7,1) y=-1/2x+1; (4,2)

Using linear algebra calculate the equilibrium , using linear algebra calcu...

using linear algebra calculate the equilibrium P 1 ,P 2 ,P 3 for the following three good market model. (1) Qs1=-7+P1 (2) Qd1=15-P1+2P2+P3 (3) Qs1=Qd1 (4) Qs2=-4+4P2

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