Question

what's 2y^2-9y+20.25 factored out?

Answer 1

I would suggest using the completing the square method.

Answer 2

yeah im using that method rn

Answer 3

the original equation was 2y^2=9y-9

Answer 4

then how did you get 20.25 from that?

Answer 5

all you have to do there is move the \(9y-9\) over to the left.

Answer 6

So it would look like \[2y^2-9y-9=0\] instead of \[2y^2 -9y +20.25\]

Answer 7

i moved 9y to the left and i got 2y^2-9y=-9

Answer 8

Okay and now move the \(\-9\) over to the left as well.

Answer 9

then i took half of the b coefficient, squared it and added it to both sides

Answer 10

Did you also factor out the 2 like this? : \[2\left(y^2-\frac{9}{2}y\right)-9=0\]

Answer 11

When you factor out the 2, it makes it easier to create a quadratic inside the parenthesis. You are essentially completing the square inside

Answer 12

Are you understanding what I did?

Answer 13

uhm totally

Answer 14

Where are you confused first? Let's clarify that.