A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 5 years ago
sqrt x+2+sqrt x=4
lol i keep asking for help on this
anonymous
 5 years ago
sqrt x+2+sqrt x=4 lol i keep asking for help on this

This Question is Closed

dumbcow
 5 years ago
Best ResponseYou've already chosen the best response.0is that sqrt(x) + 2 or sqrt(x+2)

dumbcow
 5 years ago
Best ResponseYou've already chosen the best response.0well if its the former, x = 1 if the latter, x =49/16

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0x=49/16 can you explain how you got this please?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0\[\sqrt{x+2} + \sqrt{x} = 4\] \[\iff \sqrt{x+2} = 4\sqrt{x} \] Squaring both sides yields: \[x+2 = 16  8\sqrt{x} + x \implies \sqrt x = \frac{7}{4} \] And squaring gives the result. Note, squaring can produce spurious roots, so we must check this back in the original equation, and see that it holds.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0168sqrt x+x can you explain that more

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0(ab)^2 = a^2  2ab + b^2 let a = 4 , b = sqrt(x)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0is this a formula (ab)^2 = a^2  2ab + b^2

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Not a formula so much  well, it is an identity, but it's more just common sense of expanding brackets.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0um one more thing\[\sqrt{x+2} +\sqrt{x4}\rightarrow \sqrt{x+2}4\sqrt{x}\] how did the sqrt of x become negative when you move it

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Errr, what? That didn't happen, at all. Assuming your question was right, the 4 was never under the root... and was on the other side.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0i meant \[\sqrt{x+2}+\sqrt{x} 4\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Im still confused .......

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Im still confused .......
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.