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2014-11-04T12:00:07+05:30

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We use discriminant for this purpose
for eq. ax² + bx + c = 0
D = b² - 4ac

So conditions are D > 0 then roots are real and distinct
                           D = 0 then roots are real and equal
                           D < 0 then roots are imaginary and distinct

so here for the eq.  x² - 2x + 1 = 0

is D = (-2)² - 4 x 1 x 1 = 4 - 4 = 0 

So roots are real and equal

so 4) α = β
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