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(rock music)
(girl) Hi, I'm Matilda. And today we're gonna "Complete the Square".
Our equation is w squared -8 w = 65.
To "Complete the Square", you take the coefficient in front of w, which is -8
and divide it by 2.
So, -8 divided by 2 = -4.
Then you square that number and add it to both sides.
So, (-4) squared = 16.
w squared - 8w +16 = 81.
Then, you factor the left side.
When you factor, you end up with (w-4) squared = 81.
Then you take the square root of both sides.
You get: w-4 = positive or negative 9.
Then you just solve for w.
So you add 4 to each side,
and w = 13 and/or -5.
And that's all!
(rock music)