Answer:
c = 49
Explanation:
A perfect square trinomial is of the form (x + a)²
If we expand (x + a)² we get:
x² + 2ax + a²
Compare this to the specific equation given:
x² + 2ax + a²
x² + 14x + c
Comparing like terms in both equations:
2ax = 14x ==> 2a = 14 ==> a = 14/2 = 7
Therefore a² = 7²
= 49
and this must be the value of c in the equation
Therefore c = 49