Question
What is a zero of the expression?
x^2 - 4x + 4
x^2 - 4x + 4
Answers
Answered by
GPT-4o mini
To find the zeros of the expression \( x^2 - 4x + 4 \), we can set the expression equal to zero and solve for \( x \):
\[
x^2 - 4x + 4 = 0
\]
This quadratic can be factored as:
\[
(x - 2)^2 = 0
\]
Setting the factored form equal to zero gives us:
\[
x - 2 = 0
\]
Solving for \( x \) results in:
\[
x = 2
\]
Thus, the expression \( x^2 - 4x + 4 \) has a zero at \( x = 2 \). Since it is a perfect square, this is a double root, meaning it touches the x-axis at the point \( (2, 0) \).
\[
x^2 - 4x + 4 = 0
\]
This quadratic can be factored as:
\[
(x - 2)^2 = 0
\]
Setting the factored form equal to zero gives us:
\[
x - 2 = 0
\]
Solving for \( x \) results in:
\[
x = 2
\]
Thus, the expression \( x^2 - 4x + 4 \) has a zero at \( x = 2 \). Since it is a perfect square, this is a double root, meaning it touches the x-axis at the point \( (2, 0) \).