Given sqrt (9x-3)=sqrt (4x+12) what is the value of x? A) -3 C) (9)/(13) B) 3 D) (9)/(5)

To solve the equation $\sqrt{9x-3}=\sqrt{4x+12}$, we can square both sides to eliminate the square roots:<br /><br />$(\sqrt{9x-3})^2 = (\sqrt{4x+12})^2$<br /><br />$9x-3 = 4x+12$<br /><br />Now, we can solve for $x$ by isolating the variable:<br /><br />$9x - 4x = 12 + 3$<br /><br />$5x = 15$<br /><br />$x = \frac{15}{5}$<br /><br />$x = 3$<br /><br />Therefore, the value of $x$ is 3, which corresponds to option B.