Question 312878
First of all, are you allowed to have complex (imaginary!) solutions for this equation?  If you are restricted to the real numbers, then there is NO SOLUTION, since a real number squared will never equal a negative.


However, if imaginary numbers are allowed, then 
{{{w^2=-225}}}
{{{w=0+-sqrt(-225)}}}


Since 15^2=225, 
{{{w=15i}}} or {{{w= -15i}}}


Dr. Robert J. Rapalje, Retired
Seminole State College of Florida
Altamonte Springs Campus