Example of absolute value equations, Algebra

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.

Posted Date: 4/6/2013 5:37:33 AM | Location : United States







Related Discussions:- Example of absolute value equations, Assignment Help, Ask Question on Example of absolute value equations, Get Answer, Expert's Help, Example of absolute value equations Discussions

Write discussion on Example of absolute value equations
Your posts are moderated
Related Questions
A toy manufacturer develops a formula to determine the demand for its product depending on the price in dollars. The formula is , where P is the price per unit and D is the number

I have 4.80 I need to separste into nichols, dimes and pennies. The first digit has to equal The first digist is l1 less the the first and the 2nd is once less than the third and

6x-2y=14 find the value of y when x =0

how do you solve this#question with (3,5)and (2,1) ..

Veronica''s family ordered 2 pizzas that cost $13.75 each and 2 pitchers of soda that cost $3.95 each. The total cost included a sales tax of 5.5%. They left 20% of the total cost

Using transformation to sketch the graph                             f ( x ) = (x - 2) 2  + 4 Solution In this part it looks as the base function is x 2 and it looks a

How do you do uniform motion? i am stuck on some problems


what the hell is the problem to this solution .

In a yacht race the second leg was half the length of the first leg, the third leg was two-thirds of the second leg, and the last leg was twice the length of the second leg. If the