Question

4/(x-4)^2=1

Answer 1

\[\huge \frac 4{(x-4)^2} = 1\]
cross multiply first...what do you get?

Answer 2

\[4=(x-4)^2\]

Answer 3

right. now take the square root of both sides

Answer 4

Got it, x=6?

Answer 5

hmm not quite...remember \[\sqrt 4 \implies \pm 2\]

Answer 6

so you need to have TWO values..make sense?

Answer 7

x = 6 is right. However, it's just one of the two. what's the other?

Answer 8

x=-6

Answer 9

no..

\[4 = (x-4)^2\]
if you take the square root of both sides you have
\[\pm 2 = x - 4\]

so.. solve for x in \[x-4 = 2\]
AND \[x - 4 = -2\]

got it?

Answer 10

OH. So, x= 6; 2. THANKS!

Answer 11

right. good job