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

Solving problem using polynomial inequalities, Example Solve 3x 2 - 2 x -...

Example Solve 3x 2 - 2 x -11 = 0. Solution In this case the polynomial doesn't factor thus we can't do that step.  Though, still we do have to know where the polynomial i

Word problem.., if you have coupon for 450 off your camera purchase of $100...

if you have coupon for 450 off your camera purchase of $100 or at Zeke''s camera world. write a function relating a camera''s purchase price after coupon.y, to the retail price,x.

Determine the zeroes of polynomials, Example : determine the zeroes of foll...

Example : determine the zeroes of following polynomials. P ( x)= 5x 5 - 20x 4 +5x3 + 50x2 - 20x - 40 = 5 (x + 1) 2 ( x - 2) 3 Solution In this the factoring has been

About rings, Prove that cosets of an ideal I in a ring R are disjoint or eq...

Prove that cosets of an ideal I in a ring R are disjoint or equal

Hcf in algebra, How to find the hcf of 36a and 12ab

How to find the hcf of 36a and 12ab

Joe, .what is the average rate of change if f(x) = 4x + 6 .

.what is the average rate of change if f(x) = 4x + 6 .

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?

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