Solve by completing the square PP-8p equals 0?

Answer 1

p2 - 8p = 0

The square would be (8/2)2 = 42 = 16

So, p2 - 8p + 16 = 16

then (p - 4)2 = 42

So that (p - 4) = +/- 4

then p = 4 +/- 4

ie p = 8 or p = 0

With this particular question, factorisation is so much easier:

p2 - 8p = 0

p(p - 8) = 0

So p = 0 or p = 8

Done!