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

Angles of triangle, The measure of the smallest angle is one-third the larg...

The measure of the smallest angle is one-third the largest angle. The measure of the middle angle is 65 less than the measure of the largest angle. Find the measures of the angles

Identifying the property, if I have the equation 3(x+4y)+5(2x-y)an then I c...

if I have the equation 3(x+4y)+5(2x-y)an then I change it into (3x+12y)+(10x-5y) what property is it

Varibles, 2x-1=10 I got 9/2 but i''m not sure if that is really right

2x-1=10 I got 9/2 but i''m not sure if that is really right

Solving polynomial equations by factoring, I need help with this equation: ...

I need help with this equation: x^3 - 7x^2 + 5x + 35 = 0

Tle.., If a graph shows all of the possibilities for the no. of refrigerato...

If a graph shows all of the possibilities for the no. of refrigerators and the no. of TVs that will fit into an 18 wheeler, will the truck hold 71 refrigerators and 118 Tvs?

Horizontal asymptote, Also, as x obtain very large, both positive & negativ...

Also, as x obtain very large, both positive & negative, the graph approaches the line specified by y = 0 .   This line is called a horizontal asymptote. Following are the genera

Central Angle, A segment of a circle has an area of 4.3 square feet, and th...

A segment of a circle has an area of 4.3 square feet, and the radius of the circle is 2 feet. Find the central angle.

Histograms, How may courts have 18000-18999 seats ? Use the graph

How may courts have 18000-18999 seats ? Use the graph

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