Question

9y^2 - 12y + 4 = 0
how do you solve that

Answer 1

(3y-2)(3y-2)=0
or
(3y-2)^2=0

which means we set : 3y-2=0
and solve for y.

Answer 2

what it doesnt make sense

Answer 3

dont you have to use the formula or do you have to factor it

Answer 4

you have to factor :9y^2 - 12y + 4 to get the roots or x values. When you factor this you get (3y-2)(3y-2).

Now you set these terms to zero and solve for y.

That means:

3y-2=0

and

3y-2=0

For both of these, we can add 2 to both sides and get: 3y=2, then we divide both sides by 3 and get: y=2/3

Answer 5

so does that mean that y = 2/3 but arent there supposed to be two answers

Answer 6

you see what happened when i factored: 9y^2 - 12y + 4? I got (3y-2)(3y-2). These are the same terms. When i solve both terms for y i get y=2/3. Thus there is only one root y=2/3

Answer 7

ohh becuase both the factors are the same

Answer 8

right?

Answer 9

you could say y = 2/3 D.R.
for double root

Answer 10

what is double root

Answer 11

both the factors are the same and equal. so it's called a double root..

Answer 12

ok

Answer 13

so the answer would be y = 2/3

Answer 14

yes the answer would be y=2/3

Answer 15

and can you help me with another one