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

Student, find the level of illumination for four fixtures rated at 2800 lum...

find the level of illumination for four fixtures rated at 2800 lumens each if the coefficient of depreciation is 0.75, the coefficient of utilization is 0.6, and the area of the ro

Linear equation in two variables, 2x+y/x+3y=-1/7and 7x+36y=47/3 hence find ...

2x+y/x+3y=-1/7and 7x+36y=47/3 hence find p if xy=p=x/y

Standard deviation, what is the standard deviation of a graph

what is the standard deviation of a graph

Vertical asymptote, Vertical asymptote In our graph as the value of x a...

Vertical asymptote In our graph as the value of x approaches x = 0 the graph begin gets extremely large on both sides of the line given by x = 0. This line is called a vertical

Homework question help, Karen is 62 1/2 Inches tall . Her mother is 5 3/4 ...

Karen is 62 1/2 Inches tall . Her mother is 5 3/4 inches taller. How tall is Karen''s mother?

#title.Linear Sytems Summative Assessment, Use the infomation beow tassess ...

Use the infomation beow tassess how much money Dave and Jane will be able to give to charity. They plan toma them in two sizes, small and large. Dave will carve them from wood. Sma

Digit word problems, Find a three-digit positive integers such that the sum...

Find a three-digit positive integers such that the sum of all three digit is 14, the tens digit is two more than ones and if the digit is reversed, the number is unchanged.

Need help with this question.., Three friends are selling items at a bake s...

Three friends are selling items at a bake sale. May makes $23.25 selling bread. Inez sells gift baskets and makes 100 times as much as May. Carolyn sells pies and makes one tenth o

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