Question

Solve:


36x^2-1=0

Answer 1

add 1 to both sides

Answer 2

the equation is supposed to equal 0..

Answer 3

you are trying to solve for x, right?

Answer 4

yes

Answer 5

you need to isolate x on one side of the equation.

Answer 6

start by adding one to both sides, this gives:
\[36x ^{2} = 1\]

Answer 7

what do you think would be the next step to isolate x on the left side?

Answer 8

divide 36?

Answer 9

very good. now what does the equation look like?

Answer 10

yep

Answer 11

can you solve for x now?

Answer 12

idk what do do with the square (x^2)

Answer 13

take the square root of both sides...

Answer 14

confused -_-

Answer 15

if you take the square root of \[x ^{2}\]you will get x

Answer 16

what about 1/36? does that look familiar to you?

Answer 17

so what . do 36^2?

Answer 18

not quite... take square root, not the square

Answer 19

6

Answer 20

good... but that is the square root of 36. you need the square root of 1/36

Answer 21

1/6

Answer 22

that's it. so 1/6 squared is 1/36. there is also another number that when squared becomes 1/36, do you know what that is?

Answer 23

no :/

Answer 24

do you know what happens when you square negative numbers?

Answer 25

1/6 i think is the only answer for this one. and yes they become positive.

Answer 26

so the answer can also be -1/6. not sure how stringent your class is regarding square roots.

Answer 27

do you have all you need for this question?