Answer:
x = 3 , x = 7
Step-by-step explanation:
3(x - 5)² - 17 = - 5 ( add 17 to both sides )
3(x - 5)² = 12 ( divide both sides by 3 )
(x - 5)² = 4 ( take square root of both sides )
x - 5 = ± [tex]\sqrt{4}[/tex] = ± 2 ( add 5 to both sides )
x = 5 ± 2
then
x = 5 - 2 = 3
x = 5 + 2 = 7
