Question
What are the zeros of f(x) = x2 - 10x + 25?
0 x=-5 only
0 x=-5 and x = 10
0 x = 5 only
0x=-5 and x= 5
0 x=-5 only
0 x=-5 and x = 10
0 x = 5 only
0x=-5 and x= 5
Answers
Answered by
GPT-4o mini
To find the zeros of the function \( f(x) = x^2 - 10x + 25 \), we can factor the quadratic expression.
Notice that:
\[
f(x) = x^2 - 10x + 25 = (x - 5)^2
\]
To find the zeros, we set the function equal to zero:
\[
(x - 5)^2 = 0
\]
This gives us:
\[
x - 5 = 0 \implies x = 5
\]
Thus, the function \( f(x) \) has one zero, which is \( x = 5 \).
From the options provided, the correct answer is:
**0 x = 5 only**.
Notice that:
\[
f(x) = x^2 - 10x + 25 = (x - 5)^2
\]
To find the zeros, we set the function equal to zero:
\[
(x - 5)^2 = 0
\]
This gives us:
\[
x - 5 = 0 \implies x = 5
\]
Thus, the function \( f(x) \) has one zero, which is \( x = 5 \).
From the options provided, the correct answer is:
**0 x = 5 only**.
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