Question

Which of the following are solutions to the equation below?

Answer 1

Answer:

C and F

Step-by-step explanation:

Given

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

3x - 5 = ± $\sqrt{19}$ ← note plus or minus

Add 5 to both sides

3x = ± $\sqrt{19}$ + 5 ( divide both sides by 3 )

x = ±$\frac{\sqrt{\sqrt{19}+5 } }{3}$

Separating the solutions

x = $\frac{\sqrt{19}+5 }{3}$ → C

x = $\frac{-\sqrt{19}+5 }{3}$ → F