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Roots of Quadratic Equation

α,β are the r...

Question

$α, β$ are the roots of $x^{2} - 2 x + 1 = 0$ , then

α > β

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α < β

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α + β = 0

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α = β

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Solution

The correct option is D $α = β$
We've,
$x^{2} - 2 x + 1 = 0$
or, $(x - 1)^{2} = 0$
or, $x = 1, 1$ .
As $α, β$ be the roots of the equation $x^{2} - 2 x + 1 = 0$ then $α = β$ .

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