Q. 8

Write the number of quadratic equations, with real roots, which do not change by squaring their roots.

Answer :

from the given condition roots remain unchanged only when they are equal to 1 and 0.

Hence the roots may be (0,1) or (1,0) and (1,1) and (0,0).


Hence 3 equations can be formed by substituting these points in (x-a) (x-b) = 0


Where a, b are roots or points.


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