Answer:
x = 7 ± [tex]\sqrt{15}[/tex]
Step-by-step explanation:
Given
4(x - 7)² - 48 = 12 ( add 48 to both sides )
4(x - 7)² = 60 ( divide both sides by 4 )
(x - 7)² = 15 ( take the square root of both sides )
x - 7 = ± [tex]\sqrt{15}[/tex] ( add 7 to both sides )
x = 7 ± [tex]\sqrt{15}[/tex]
