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

..algebra 1, show that -b/b-a may be properly changed to b/a-b...show steps...

show that -b/b-a may be properly changed to b/a-b...show steps

Word problem, A company makes and sells notebook computers. The company’s c...

A company makes and sells notebook computers. The company’s cost function in thousands of dollars is C(x) = 0.3x + 100, and the revenue function in thousands of dollars is R(x) = 0

11th grade student, is negative 6 less than 2x minus 4 less than 13 an and ...

is negative 6 less than 2x minus 4 less than 13 an and or statement

Find out all the zeroes - rational zeroes, Example   Find out all the zero...

Example   Find out all the zeroes of P ( x ) = x 4 - 7 x 3 + 17 x 2 -17 x + 6 . Solution We found the list of all possible rational zeroes in the earlier example.  Follo

Example of piecewise functions, Given,                   Evaluate...

Given,                   Evaluate g(6). Solution Before beginning the evaluations here let's think that we're using different letters for the function & variable

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