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

sparky16
 one year ago
Best ResponseYou've already chosen the best response.0umm maybe..\[\sqrt{2}\times \sqrt{1/y}=10\]

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

JamesJ
 one year 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

sparky16
 one year ago
Best ResponseYou've already chosen the best response.0oh wait never mind. You just divided by 2

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

sparky16
 one year ago
Best ResponseYou've already chosen the best response.0then we should turn y^(1/2) into \[\sqrt{1/y}\] right?

JamesJ
 one year 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.

sparky16
 one year ago
Best ResponseYou've already chosen the best response.0Ok. \[\sqrt{1/y}=5\] I square both sides right? so 1/y =25

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

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

sparky16
 one year 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
 one year ago
Best ResponseYou've already chosen the best response.0Scary. \[ 2 \times \frac{1}{2} = 1 \] Agreed?

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

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

sparky16
 one year 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
 one year 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
 one year ago
Best ResponseYou've already chosen the best response.0If 1/y = a, then y = 1/a

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

sparky16
 one year ago
Best ResponseYou've already chosen the best response.0I thought I would just times y/1 to both sides

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

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

sparky16
 one year ago
Best ResponseYou've already chosen the best response.01/y=25 times by y/1 to both sides... 25y???

JamesJ
 one year 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
 one year 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?

sparky16
 one year ago
Best ResponseYou've already chosen the best response.0ok. 25y=1 Oh then divide by 25 so I get 1/25

JamesJ
 one year 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
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