Solve the equation using absolute value equations, Algebra

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.

Posted Date: 4/6/2013 5:38:26 AM | Location : United States







Related Discussions:- Solve the equation using absolute value equations, Assignment Help, Ask Question on Solve the equation using absolute value equations, Get Answer, Expert's Help, Solve the equation using absolute value equations Discussions

Write discussion on Solve the equation using absolute value equations
Your posts are moderated
Related Questions
my homework instructions are "solve by factoring" and one of the problems is 2x^2+9x=0

Augmented Matrix Previously we saw that there were some special cases in the solution to systems of two equations. We illustrated that there didn't need to be a solution at al

Two cars start out at the similar point.  One car starts out moving north at 25 mph. later on two hours the second car starts moving east at 20 mph.  How long after the first car s

A toy manufacturer determines that the daily cost,C, for producing x units of a dump truck can b approximated by the function c(x)=0.005x^2-x+109 I got that the manufacturer must

Paula weighs 120 pounds, and Donna weighs p pounds. Paula weighs more than Donna. Which expression shows the difference in their weights?

We've been talking regarding zeroes of polynomial and why we require them for a couple of sections now. However, we haven't really talked regarding how to actually determine them f

write an algebraic expression: Kelly is 2 years younger than 3 times Tracy''s age

To find the calorie density (D) in calories per ounce of food that contains c carories and weight w ounces is given by D=C/w

BEST WAY TO FIND ORDERED PAIRS

I need help solving the following Algebra problem. Give all solutions of the nonlinear system of equations, including those with nonreal complex components. xy=-20 3x+5y=5