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

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

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

sparky16 Group TitleBest ResponseYou've already chosen the best response.0
\[2y ^{1/2}=10\]
 one year ago

JamesJ Group TitleBest ResponseYou've already chosen the best response.0
Right. 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
 one year ago

sparky16 Group TitleBest ResponseYou've already chosen the best response.0
How did you get 5?
 one year ago

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

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

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

JamesJ Group TitleBest ResponseYou've already chosen the best response.0
There 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.
 one year ago

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

JamesJ Group TitleBest ResponseYou've already chosen the best response.0
yes and hence y = ...
 one year ago

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

sparky16 Group TitleBest ResponseYou've already chosen the best response.0
I'm not sure
 one year ago

JamesJ Group TitleBest ResponseYou've already chosen the best response.0
If 1/x = 2, then x = 1/2. If 1/z = 1/3, then z = 3
 one year ago

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

sparky16 Group TitleBest ResponseYou've already chosen the best response.0
I don't understand how to find y. I kind of forgot how to do the reciprocal thing .Can u explain
 one year ago

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

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

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

sparky16 Group TitleBest ResponseYou've already chosen the best response.0
but i mean in the form of 1/y=25. I don't understand this one
 one year ago

JamesJ Group TitleBest ResponseYou've already chosen the best response.0
Yes 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 = ... ?
 one year ago

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

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

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

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

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

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

sparky16 Group TitleBest ResponseYou've already chosen the best response.0
1/y=25 times by y/1 to both sides... 25y???
 one year ago

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

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

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

sparky16 Group TitleBest ResponseYou've already chosen the best response.0
thank you!
 one year ago

JamesJ Group TitleBest ResponseYou've already chosen the best response.0
Yes 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
 one year ago
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