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

Advantage and disadvantage of using algebraic distance, 1) The goal of the ...

1) The goal of the first questions is to implement some code that performs calibration using the method described in the book; by first computing a projection matrix, and then deco

Alg 2.., Cassie has six bracelets. In how many different ways can she wear ...

Cassie has six bracelets. In how many different ways can she wear three bracelets at the same time..

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

Solve the given log function, Example: Solve following equations. 2 log...

Example: Solve following equations. 2 log 9 (√x) - log 9 (6x -1) = 0 Solution  Along with this equation there are two logarithms only in the equation thus it's easy t

Percent, Write this decimal as a percent. .35

Write this decimal as a percent. .35

Draw the graph parabolas, Sketch the graph parabolas. g ( x ) = 3x 2 - ...

Sketch the graph parabolas. g ( x ) = 3x 2 - 6 x + 5 Solution For this parabola we've obtain a = 3 , b = -6 and c = 5 .  Ensure that you're cautious with signs while id

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