A community for students.
Here's the question you clicked on:
 0 viewing
james1769
 one year ago
Solve the equation the square root of the quantity x + 4  3 equals 1 for the variable. Show each step of your solution process.
james1769
 one year ago
Solve the equation the square root of the quantity x + 4  3 equals 1 for the variable. Show each step of your solution process.

This Question is Closed

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.0is your equation like this? \[\sqrt {x + 4}  3 = 1\]

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.0since we have this square root \(\sqrt {x + 4} \), then we have to request that the radical \(x+4\) has to be greater or equal than zero: \[x + 4 \geqslant 0\]

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.0since the square root of negative numbers doesn't exists

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.0solving that inequality we have: \[x \geqslant  4\] which means that we can accept, as solutions, only those quantities which are greater or equal to 4

james1769
 one year ago
Best ResponseYou've already chosen the best response.0does the answer come out to be x=12

james1769
 one year ago
Best ResponseYou've already chosen the best response.0got one more question

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.0yes! since we have to add 3 to both sides: \[\sqrt {x + 4} = 4\] then squaring both sides and simplifying, we get: x=12

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.0and since 12 > 4, we can conclude that x=12 is the solution of our equation
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.