Create an equation that results in at least one extraneous solution. Work through your equation, justify each step, and explain how the solution is extraneous.

Question

anonymous · Answer

@Hero

hero · Answer

Here you go: http://hotmath.com/hotmath_help/topics/extraneous-solutions.html

anonymous · Answer

Ive never learned this. they never taught it..so can u explain please? @Hero

hero · Answer

Basically, you're given an equation, and asked to solve it, but when you solve it, you get two solutions, instead of one. Then upon checking the solutions, you realize one solution works and the other one doesn't. The other solution is called extraneous because it is not in the domain of  variable x.

anonymous · Answer

So like x+3 = 10 +4?

anonymous · Answer

@Hero

hero · Answer

How is that extraneous? 

x + 3 = 10 + 4
x = 10 + 4 - 3
x = 11

hero · Answer

11 + 3  = 10 + 4
14 = 14

anonymous · Answer

im so confused

anonymous · Answer

when you say the other solution doesnt work that means they dont equal?

anonymous · Answer

@Hero

hero · Answer

Yes, if you have an extraneous solution, then it will not work when you check it.