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

Question

-9
-3
3
9

Answer 1

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 $\boxed{{\displaystyle 9}}$.