1. The problem statement, all variables and given/known data Consider ax''+bx'+cx=0 for b^2-4ac=0 with k= -b/(2a). Show x=e^(kt) is a solution. 3. The attempt at a solution x=e^(kt) x'=(-b/2a)e^((-b/2a)t) x''=(-b^2/4a^2)e^((-b/2a)t) Then i plugged these into ax''+bx'+cx=0 and simplified to get e^((-b/2a)t)(-((b^2)/2)+c)=0 I'm stuck at what to do next. Thank you for any help.