Question

If ''-a'' is a solution of the equation x^2 + 3ax+k = 0, find the value of k. Thus, find the other root of the equation

Answer 1

Step-by-step explanation:

x2+3ax+k=0

Substituting x=−a,

⇒  (−a)2+3a(−a)+k=0

⇒  a2−3a2+k=0

⇒  −2a2+k=0 

⇒  k=2a2

Now substituting k=ma2

⇒  ma2=2a2

∴  m=2