Answer to Question #169129 in Algebra for william

Question

Solve the equation: (3x-4)^1/2=2

Answer 1

${(3x - 4)^{\frac{1}{2}}} = 2 \Rightarrow \left\{ {\begin{matrix} {3x - 4 > 0}\\ {3x - 4 = {2^2}} \end{matrix}} \right. \Rightarrow \left\{ {\begin{matrix} {x > \frac{4}{3}}\\ {3x = 4 + 4} \end{matrix}} \right. \Rightarrow \left\{ {\begin{matrix} {x > \frac{4}{3}}\\ {x = \frac{8}{3}} \end{matrix}} \right. \Rightarrow x = \frac{8}{3}$

Answer: $x = \frac{8}{3}$