Question

need help finding the solution(s) to this equation..

Answer 1

\[y ^{-1}-22y ^{-1 \over 2}+120=0\]

Answer 2

let u=y^(-1/2)

Answer 3

so what does u^2=?

Answer 4

x?

Answer 5

u^2=y^(-1)

Answer 6

ok, thanks. so where do I go from here?

Answer 7

do you know how to factor u^2-22u+120=0

Answer 8

i'm trying to figure out what works for 22 and 120..does anything besides 2 go into them both?

Answer 9

(u-10)(u-12)=0

Answer 10

so will the 2 solutions be positive 10 and 12 then?

Answer 11

y^(-1/2)=10
y^(-1/2)=12
since u=y^(-1/2)

Answer 12

solve for y from both of these equations and you are done

Answer 13

would it be 10 1/2 and 12 1/2 then? i didn't know the solutions could be anything besides a whole numbers

Answer 14

y=10^(-2)
y=12^(-2)
you can evaluate those

Answer 15

Sorry I have so many questions..I just want to make sure I understand completely. To evaluate these what exactly do i do?

Answer 16

do you know law of exponents?

Answer 17

possibly. I'm not sure exactly what that entails. I don't know the tnames for all these math terms

Answer 18

y=10^(-2)=1/(10^2)
y=12^(-2)=1/(12^2)
can you evaluate it now?

Answer 19

do they just end up being 10 and 12?

Answer 20

y=1/(10*10)
y=1/(12*12)
can you evaluate these now?

Answer 21

100 and 144?

Answer 22

I just didn't think it would be that large of number.

Answer 23

y=1/100
y=1/144

Answer 24

you can plug these in to check if you want

Answer 25

oh the 1 does stay on top? wasn't sure about that. Sorry i'm so incompetent at math.

Answer 26

Ok will do. thanks

Answer 27

np how about a medal? lol

Answer 28

i'd say you earned it!

Answer 29

yay! :)

Answer 30

thanks you i will give you one too

Answer 31

yay! Idk if i deserve one but thanks anyways! :)

Answer 32

lol ok deserve it here if we have the function f(n)=2
find f(3)=...

Answer 33

2..or n...er.. uhh

Answer 34

lol thats right

Answer 35

woohoo!

Answer 36

the 2 is right

Answer 37

its a horizontal line going through the y axis at 2 so no matter what you plug in fir x (or n) you will always get 2

Answer 38

have a goodnight