the roots of the equation x^2 +(2p-1)x+p^2=0,are real if?
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Answer:
Step-by-step explanation:
If detrminant i.e. b² - 4ac is greater than or equal to zero
In this case b = ( 2p - 1 )
a = 1 and c = p²
So (2p - 1)² - 4(1)(p²) should be greater than or equal to zero
So 4p²+1-4p - 4p² greater than or equal to zero
So 1- 4p is greater than or equal to zero
So p≤1/4
P belongs to (-∞,1/4)
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