Answer:
[tex]\sf x = -1 + 5\sqrt{2} \ ; \ x = -1 - 5\sqrt{2}[/tex]
Step-by-step explanation:
(x - 1)² = 50
Take square root both sides,
[tex]\sf x + 1 = \± \sqrt{50}\\\\x + 1 = \± \sqrt{5*5*2}\\\\x + 1 = \± 5\sqrt{2}\\\\x = -1 \± 5\sqrt{2}[/tex]
[tex]\sf x = -1 + 5\sqrt{2} \ ; \ x = -1 - 5\sqrt{2}[/tex]
