Answered

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Nancy found that [tex]$x=1[tex]$[/tex] is one solution to the quadratic equation [tex]$[/tex](x+2)^2=a$[/tex]. What is the value of [tex]a[/tex]?

A. [tex]-9[/tex]
B. [tex]-3[/tex]
C. [tex]3[/tex]
D. [tex]9[/tex]

Sagot :

GinnyAnswer
To find the value of \(a\) in the equation \((x + 2)^2 = a\) when \(x = 1\), we will follow these steps:

1. Substitute \(x = 1\) into the equation:
[tex]\[ (1 + 2)^2 = a \][/tex]

2. Simplify the expression inside the parentheses:
[tex]\[ 1 + 2 = 3 \][/tex]

3. Square the result:
[tex]\[ 3^2 = 9 \][/tex]

So, the value of \(a\) is \(9\).

Therefore, the correct answer is [tex]\(\boxed{9}\)[/tex].
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