the condition of the roots of ax2 +b= 0 being real , unequal and opposite in sign is-
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let the zeroes be p, q
For p and q to be real. and unequal,
b² - 4ac > 0
Here, b =0, and c = b
So, -4ab > 0
For p and q to have opposite signs,
p + q = 0
As sum of zeroes = -b/a,
-0/a = 0
As this is true for every value of a,
The final condition is : - 4ab > 0
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