Question

Complete the following activity to solve the quadatic equation x² + 8x – 48 = 0 by completing square method.

Activity:

∴ x² + 8x – 48 = 0

∴ x² + 8x + 16 – `square` – 48 = 0

∴ (x + 4)² – `square` = 0

∴ (x + 4)² = 64

∴ x + 4 = `square` or x + 4 = –8

∴ x = 4 or x = `square`

Answer 1

Activity:

∴ x² + 8x – 48 = 0

∴ x² + 8x + 16 – \[\boxed{16}\] – 48 = 0

∴ (x + 4)² – \[\boxed{64}\] = 0

∴ (x + 4)² = 64

∴ x + 4 = \[\boxed{8}\] or x + 4 = –8

∴ x = 4 or x = \[\boxed{-12}\]