Question

Solve by extracting the square roots: 3(3x-1)^2=21

Answer 1

divide by 3 to get \((3x-1)^2=7\)

Answer 2

then take the square roots

Answer 3

3x-1=\[\sqrt{7}\]?
Like this?

Answer 4

yeah
don't forget
\[3x-1=-\sqrt7\]

Answer 5

how come it's negative?

Answer 6

could be \(\sqrt7\) or could be \(-\sqrt7\)

Answer 7

ohhhh ok :)
so would that be the answer? or is there more to it?

Answer 8

yeah
you have to solve for \(x\)

Answer 9

add 1
divide by 3

Answer 10

So it would be:\[\frac{ 1\pm \sqrt{7} }{ 3 }\]

Answer 11

yes

Answer 12

so is that what they mean by extracting the square roots?

Answer 13

i guess

Answer 14

okie dokie :)
thank you so much!!!!! :D

Answer 15

yw