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the roots of the quadratic equation x 2 4x 4 0 are
Question:
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 \(x = a\).
TS POLYCET - 2024
TS POLYCET
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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