You can actually graph the function above and the only solution is x=6. You seem to be mixing up some things.
Let us say, like you did, that a=(x-3)
Therefore, (x-3)^2 – 6(x-3) + 9 would be translated into a^2 – 6a +9. NOT a^2 – 6a like you suggested. (You left out the 9)
Now lets continue to solve this:
0 = a^2 – 6a + 9
0 = (a-3)^2
There is only one solution here to “a”. a=3
so…
a=3 substitute x-3 in for a
(x-3)=3 add three to both sides
x=6
Comments (3)
If A=x-3 then 0=a^2-6a or 0=a(a-6). A=0 or 6. Plug 6 in for A and get x=9. Plug 0 in for A and get x=3. I believe the answers should be 6 or 9.
I meant x=3 or 9 lol.
You can actually graph the function above and the only solution is x=6. You seem to be mixing up some things.
Let us say, like you did, that a=(x-3)
Therefore, (x-3)^2 – 6(x-3) + 9 would be translated into a^2 – 6a +9. NOT a^2 – 6a like you suggested. (You left out the 9)
Now lets continue to solve this:
0 = a^2 – 6a + 9
0 = (a-3)^2
There is only one solution here to “a”. a=3
so…
a=3 substitute x-3 in for a
(x-3)=3 add three to both sides
x=6
Hope that made enough sense.