Answer:
x = 4 ± 3[tex]\sqrt{5}[/tex]
Step-by-step explanation:
Given
4(x - 4)² - 180 = 0 ( add 180 to both sides )
4(x - 4)² = 180 ( divide both sides by 4 )
(x - 4)² = 45 ( take the square root of both sides )
x - 4 = ± [tex]\sqrt{45}[/tex] = ± 3[tex]\sqrt{5}[/tex]
Add 4 to both sides
x = 4 ± 3[tex]\sqrt{5}[/tex]
