Question

for the quadratic equation x2 +6x=16 what should be the 3rd term to make lhs a complete square​

Answer 1

Answer:

Before finding the third term we will revise how does it looks like when expanding a complete square as below,

So in our question,

When we expand this,

So the third term is,

Answer is +9

Answer 2

Answer:

according to question there are two possiblities

(i)  for completing  square of LHS

We must 9 add on both sides

x^2 + 2 (x) ( 3 )  + 9 =  16 -9

( x + 3 )^2 = 7

which is in complete square form of L.H.S ONLY