Question

20 points... Sherlock - please help!

Answer 1

Answer:

C) $\{\frac{1+\sqrt{5}}{3},\:\frac{1-\sqrt{5}}{3}\}$

Step-by-step explanation:

$(3x-1)^2=5\\\\3x-1=\pm\sqrt{5}\\\\3x=1\pm\sqrt{5}\\\\x=\frac{1\pm\sqrt{5}}{3}\\ \\\{\frac{1+\sqrt{5}}{3},\:\frac{1-\sqrt{5}}{3}\}$