Question:
The roots of the quadratic equation \(x^2 - 4x + 4 = 0\) are:
The roots of the quadratic equation \(x^2 - 4x + 4 = 0\) are:
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If a quadratic equation is a perfect square, such as \((x - a)^2 = 0\), it has a repeated root, which is \(x = a\).
Updated On: May 13, 2025
- 4, 1
- 2, 2
- -2, -2
- 4, 2
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The Correct Option is B
Solution and Explanation
The quadratic equation \(x^2 - 4x + 4 = 0\) can be factored as:
\[
(x - 2)(x - 2) = 0
\]
Thus, the roots are \(x = 2\) and \(x = 2\).
Therefore, the correct answer is option (2).
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