Which of the following are solutions to the equation below?
(3x - 5)^2 = 19
A. x= √19+5/3
B. x= -√14/3
c. x= - √19+5/3
D. X= √19+5/3
E x=-√19+5/3
F. x=√14/3​

Respuesta :

Answer:

C and D

Step-by-step explanation:

Given

(3x - 5)² = 19 ( take the square root of both sides )

3x - 5 = ± [tex]\sqrt{19}[/tex] ( add 5 to both sides )

3x = ± [tex]\sqrt{19}[/tex] + 5 ( divide both sides by 3 )

x = [tex]\frac{+/-\sqrt{19}+5 }{3}[/tex]

x = [tex]\frac{-\sqrt{19}+5 }{3}[/tex] → C

x = [tex]\frac{\sqrt{19}+5 }{3}[/tex] → D

Answer:

C and D

Step-by-step explanation: