Answer:
C and F
Step-by-step explanation:
Given
(3x - 5)² = 19 ( take the square root of both sides )
3x - 5 = ± [tex]\sqrt{19}[/tex] ← note plus or minus
Add 5 to both sides
3x = ± [tex]\sqrt{19}[/tex] + 5 ( divide both sides by 3 )
x = ±[tex]\frac{\sqrt{\sqrt{19}+5 } }{3}[/tex]
Separating the solutions
x = [tex]\frac{\sqrt{19}+5 }{3}[/tex] → C
x = [tex]\frac{-\sqrt{19}+5 }{3}[/tex] → F
