solve the equation 36x^2-4=0

Question

hero · Answer

Hint: 

Difference of squares
a^2 - b^2 = (a+b)(a-b)

inkyvoyd · Answer

add 4 to both sides.
divide both sides by 36
simplify the fraction
tak the plus minus square root of both sides

hero · Answer

In this case, we have

36x^2 - 4 = (6x + 2)(6x -2) = 0

inkyvoyd · Answer

Hero's method works as well, and is faster, but you need to have factoring patterns memorized.

hero · Answer

Both methods work equally well.

hero · Answer

I use them interchangably

inkyvoyd · Answer

Also, note that plus minus square root means you have two answers; many tend to forget one

anonymous · Answer

final answer x= 1/3, =1/3

hero · Answer

actually, I think x = 1/3, -1/3

anonymous · Answer

typo thats what i meant

nastech · Answer

36x^2-4=0
4(9x^2-1)=0
9x^2-1=0
9x^2=1
x^2=1/9
x=1/3

hero · Answer

Ya, I know @parksbap that's why I gave you a medal. But I was stating the fact just for the record. Not necessarily for you but for others who are also viewing the question and may be trying to solve it themselves.

anonymous · Answer

thanks

inkyvoyd · Answer

Also, hedgehog.

nastech · Answer

actuallyit is 1/3 or -1/3