1There will be three conditions for the two roots to be negative.
1. Discriminant, D > 0
2. Sum of roots , -b/a < 0
3. Product of roots, c/a >0
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Q. what will be the condition if both roots are negative ?
answer given
1. D> 0
2. a f (0) >0
3. -b/2a >0............................. is the 3rd point corect ? i feel it wil be -b/2a < 0..
pls tel me the answer n explain me.
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3 Answers
106if both roots are negative ... then -b/2a < 0 as sum of the roots is -ve so its half will also be negative..
D>0 as the roots are real
and 0 will lie outside the roots... so f(0) will have same sign as a
hence a*f(0) > 0
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