Published by:
CGP EDU Academic Team
Published on: August 12, 2026
How many quadratic equations are there which are unchanged by squaring their roots?
Text Solution
Verified by ExpertsThe correct answer is:
4
(4)
From (i), 
or 
Case 1: If 
then we have following possibilities
(i) If 
then from (ii), 
or 
(ii) If 
then from (ii), 
or 
∴ from (i) and (ii) we can say that roots are 
or 
Required quadratic equations are 
or 
Case 2 : If 
then from (ii) we get 
So, the required quadratic equations are 
and 
four equations are possible.
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