A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 3 years ago
Solve:
2y^(1/2)=10
anonymous
 3 years ago
Solve: 2y^(1/2)=10

This Question is Closed

JamesJ
 3 years ago
Best ResponseYou've already chosen the best response.0What do you think is a good first step?

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0umm maybe..\[\sqrt{2}\times \sqrt{1/y}=10\]

JamesJ
 3 years ago
Best ResponseYou've already chosen the best response.0If the problem \[ 2y^{1/2}  10 \] or \[ (2y)^{1/2} = 10 \]

JamesJ
 3 years ago
Best ResponseYou've already chosen the best response.0Right. So you want y by itself. That is, you want y^1 by itself equal to something. So first step I would use is to at least get y^something by itself first \[ 2y^{1/2} = 10 \] implies \[ y^{1/2} = 5 \] Yes? If you're ok with that step, then suggest what to do next. Remember you want y^1 = y = something

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0oh wait never mind. You just divided by 2

JamesJ
 3 years ago
Best ResponseYou've already chosen the best response.0C'mon. Look at the expression before hand. I divided both sides by 2.

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0then we should turn y^(1/2) into \[\sqrt{1/y}\] right?

JamesJ
 3 years ago
Best ResponseYou've already chosen the best response.0There are lots of ways to solve the problem. Writing y^(1/2) that way is one way. Write now the rest of the solution and then I'll show you another way.

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0Ok. \[\sqrt{1/y}=5\] I square both sides right? so 1/y =25

JamesJ
 3 years ago
Best ResponseYou've already chosen the best response.0If 1/y = 25, then it can NOT be the case y = 25.

JamesJ
 3 years ago
Best ResponseYou've already chosen the best response.0If 1/x = 2, then x = 1/2. If 1/z = 1/3, then z = 3

JamesJ
 3 years ago
Best ResponseYou've already chosen the best response.0Hence if 1/y = 25 then y = ...

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0I don't understand how to find y. I kind of forgot how to do the reciprocal thing .Can u explain

JamesJ
 3 years ago
Best ResponseYou've already chosen the best response.0Scary. \[ 2 \times \frac{1}{2} = 1 \] Agreed?

JamesJ
 3 years ago
Best ResponseYou've already chosen the best response.0two times one half equals one, yes?

JamesJ
 3 years ago
Best ResponseYou've already chosen the best response.0Suppose now that 2x = 1. What does x equal?

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0but i mean in the form of 1/y=25. I don't understand this one

JamesJ
 3 years ago
Best ResponseYou've already chosen the best response.0Yes 2x = 1 implies x = 1/2. Now take 2x = 1 and divide both sides by x; we have \[ \frac{2x}{x} = \frac{1}{x} \] Hence \[ 2 = \frac{1}{x} \] I.e., x = 1/2 if and only if 1/x = 2. So if 1/y = 25, what does y = ... ?

JamesJ
 3 years ago
Best ResponseYou've already chosen the best response.0If 1/y = a, then y = 1/a

JamesJ
 3 years ago
Best ResponseYou've already chosen the best response.0If 1/y = 25, then y = ... ?

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0I thought I would just times y/1 to both sides

JamesJ
 3 years ago
Best ResponseYou've already chosen the best response.0well \[ y \times \frac{1}{y} = 1 \] So if 1/y = 25, then \[ y \times 25 = 1 \] i.e., \( 25y = 1 \). Hence y = ...

JamesJ
 3 years ago
Best ResponseYou've already chosen the best response.0If 1/y = a, then y = 1/a

JamesJ
 3 years ago
Best ResponseYou've already chosen the best response.0Hence if 1/y = 25, then y = ....

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.01/y=25 times by y/1 to both sides... 25y???

JamesJ
 3 years ago
Best ResponseYou've already chosen the best response.0No. You are not reading what I am writing. \[ \frac{1}{y} \times y = 1 \] Do you agree with that statement?

JamesJ
 3 years ago
Best ResponseYou've already chosen the best response.0Now suppose 1/y = 25, then \[ 25 \times y = 1 \] That is \[ 25y = 1 \] Agreed so far?

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0ok. 25y=1 Oh then divide by 25 so I get 1/25

JamesJ
 3 years ago
Best ResponseYou've already chosen the best response.0Yes y = 1/25 If 1/y = 25, then y = 1/25 In general, if 1/y = a, then y = 1/a if 1/x = 1/b, then x = b
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.