Question

Use the technique of completing the square to transform the quadratic equation into the form (x + c)2 = a.

9x^2 - 18x - 45 = 0

Answer 1

divide by 9

Answer 2

done.

Answer 3

what did you get?

Answer 4

(x-9)^2=11 but i think thats wrong I'm starting over again.

Answer 5

can we do it step by step please?

Answer 6

yes.

Answer 7

and yes that is wrong
lets start with
\[9x^2-18x-45=0\] and divide all by \(9\) to make the leading coefficient one
just divide each number by \(9\) and tell me what you get

Answer 8

i mean not as a final answer, just what you get when you divide all by 9

Answer 9

9x^2-2x-5=0

Answer 10

you forgot the most important part
you are trying to make the leading coefficient (the number in front of \(x^2\) in to \(1\)

Answer 11

let me know when you get
\[x^2-2x-5=0\]

Answer 12

lol wow i feel dumb lol. i thought i divided wrong. i got it now.

Answer 13

then add \(5\) to both sides

Answer 14

let me know what you get

Answer 15

x^2-2x=5

Answer 16

ok
now what is half of \(2\) ?

Answer 17

(x-1)^2=6

Answer 18

got it

Answer 19

yep. thankyou:)