A community for students.
Here's the question you clicked on:
 0 viewing
mathmath333
 one year ago
solve for \(x\)
mathmath333
 one year ago
solve for \(x\)

This Question is Closed

mathmath333
 one year ago
Best ResponseYou've already chosen the best response.0\(\large \color{black}{\begin{align} (x1)\sqrt{x^2x2}\geq 0\hspace{.33em}\\~\\ \end{align}}\)

mathmath333
 one year ago
Best ResponseYou've already chosen the best response.0i got \(\large \color{black}{\begin{align} x\geq 1 \cup \left(x\geq 2 \cup x\leq 1\right)\hspace{.33em}\\~\\ \end{align}}\)

freckles
 one year ago
Best ResponseYou've already chosen the best response.2\[x^2x2=(x2)(x+1) \\ (x1) \sqrt{(x1)(x2)} \ge 0\] we should consider the domain of the square root function there on that square root function's domain the square root function will be positive so then you just need to consider when (x1) is positive and find the intersection of these sets

mathmath333
 one year ago
Best ResponseYou've already chosen the best response.0how to solve this \(\large \color{black}{\begin{align} x\geq 1 \cup \left(x\geq 2 \cup x\leq 1\right)\hspace{.33em}\\~\\ \end{align}}\)

freckles
 one year ago
Best ResponseYou've already chosen the best response.2is that one symbol is suppose to be an intersect sign ?

mathmath333
 one year ago
Best ResponseYou've already chosen the best response.0i havent studied intersection of sets

mathmath333
 one year ago
Best ResponseYou've already chosen the best response.0i just tried and posted

freckles
 one year ago
Best ResponseYou've already chosen the best response.2we should also go back to include when the function is 0 but I think you mean \[(x \ge 1) \cap (x \ge 2 \cup x \le 1)\] draw a number line in keep in mind that x can be 1,1,2 since that makes the function 0 but anyways it might helped to also graph that... dw:1436976303765:dw

freckles
 one year ago
Best ResponseYou've already chosen the best response.2notice the elements in common between x>=1 and also (x ge 2 union x<=1)

freckles
 one year ago
Best ResponseYou've already chosen the best response.2dw:1436976374511:dw

freckles
 one year ago
Best ResponseYou've already chosen the best response.2dw:1436976397456:dw but we also want to include these little endpoints because at these endpoints we have the thingy is 0

freckles
 one year ago
Best ResponseYou've already chosen the best response.2the reason x<1 doesn't work is because x1 is negative there the reason 1<x<2 doesn't work is because that isn't in the domain of the square root function

freckles
 one year ago
Best ResponseYou've already chosen the best response.2anyways intersect just means you are trying to find the common elements

mathmath333
 one year ago
Best ResponseYou've already chosen the best response.0u mean the answer is \(x\geq 2\)

mathmath333
 one year ago
Best ResponseYou've already chosen the best response.0but wolfram also gives \(x=1\) which is not in ur intersecton

freckles
 one year ago
Best ResponseYou've already chosen the best response.2you need to include the zeros @mathmath333

freckles
 one year ago
Best ResponseYou've already chosen the best response.2this is what I meant by the statement "but we also want to include these little endpoints because at these endpoints we have the thingy is 0 "dw:1436977880095:dw and the drawing that went along with it

freckles
 one year ago
Best ResponseYou've already chosen the best response.2if the thing was just \[(x1) \sqrt{(x+1)(x2)} >0 \] the answer would have been to just look at the interesections

freckles
 one year ago
Best ResponseYou've already chosen the best response.2the intersection of when x>1 and the domain of the square root function

freckles
 one year ago
Best ResponseYou've already chosen the best response.2but we also had a equal sign in there

freckles
 one year ago
Best ResponseYou've already chosen the best response.2\[(x1) \sqrt{(x+1)(x2)} >0 \text{ gives the solution } x>2 \\ (x1)\sqrt{(x+1)(x2)}=0 \text{ when } x=\pm 1 \text{ or } x=2 \\ \]

freckles
 one year ago
Best ResponseYou've already chosen the best response.2therefore the solution to \[(x1) \sqrt{(x+1)(x2)} \ge 0 \text{ is } x>2 \text{ or } x= \pm 1 \text{ or } x=2 \\ \text{ clean it up a little } x \ge 2 \text{ or } x=\pm 1 \]
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.