Nancy found that x=1 is one solution to the quadratic equation (x+2)2=a. What is the value of a?

-9
-3
3
9

1 answer

To find the value of \( a \) when \( x = 1 \) is a solution to the equation \( (x + 2)^2 = a \), we can substitute \( x = 1 \) into the equation and solve for \( a \).

First, substitute \( x = 1 \):

\[ (1 + 2)^2 = a \]

Calculating the left side:

\[ (3)^2 = a \] \[ 9 = a \]

Thus, the value of \( a \) is \( \boxed{9} \).