What is the solution to the equation sqrt (-5p)=sqrt (24-p) p=-6 p=-(24)/(5) p=-4 p=-(24)/(25)

To solve the equation $\sqrt {-5p}=\sqrt {24-p}$, we can square both sides to get rid of the square roots:<br /><br />$-5p = 24 - p$<br /><br />Solving for $p$, we get:<br /><br />$p = -\frac {24}{5}$<br /><br />Therefore, the correct answer is $p=-\frac {24}{5}$.