Solve the equation using absolute value equations, Algebra

Assignment Help:

Example: Solve following.

                     | 10 x - 3 |= 0

 

Solution

Let's approach this one through a geometric standpoint. It is saying that the quantity in the absolute value bars has a distance of zero from the origin. There is just one number that has the property and i.e. zero itself. Thus, we must have,

10x - 3 = 0      ⇒ x = 3/10

In this case we acquire a single solution.

Thus, if b is zero then we can just drop the absolute value bars and solve the equation.  Likewise, if b is negative then there will be no solution to the equation.

To this point we've only looked at equations which involve an absolute value being equivalent to a number, however there is no cause to think that there ought to only be a number on the other side of the equal sign.  Similarly, there is no cause to think that we can only have one absolute value in the problem.  Thus, we have to take a look at a couple of these kinds of equations.


Related Discussions:- Solve the equation using absolute value equations

Scientific Notation, Michael bought three USB flash drives each capacity of...

Michael bought three USB flash drives each capacity of 1.5 gigabytes.He also bought two USB flash drives each with a capacity of @ gigabytes.Express the total capacity of the three

Trinomials, Simplify 3(x-2)to the second -2(x+1)

Simplify 3(x-2)to the second -2(x+1)

Common graphs, We desire to look at the graph of quadratic function. The mo...

We desire to look at the graph of quadratic function. The most general form of a quadratic function is,                                                       f (x ) = ax 2 + bx

Non-linear systems, In this section we will discussed about non-linear syst...

In this section we will discussed about non-linear systems of equations.  A non-linear system of equations is a system wherein at least one of the variables contains an exponent ot

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