Hi,
a2 + 4a +x = (a+2)2
=> a2 + 4a + x = a2 + 22 + (2*a*2)
=> (a2 + 4a + x) - a2 - 4a = (a2 + 4 + 4a) - a2 - 4a {By subtracting a2 and 4a on both sides}
=> a2 + 4a + x - a2 - 4a = a2 + 4 + 4a - a2 - 4a
=> x = 4 {ANS.}
Identities used:
(a+b)2 = a2 + b2 + 2ab
Method used:
Systematic method to solve the equation.
Regards.