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If a x^2+b x+c=0 has imaginary roots and...

If `a x^2+b x+c=0` has imaginary roots and `a+b+c

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The correct Answer is:
No such a exists .
`ax(2) + bx + c = 0` has imaginary roots . Hence .
` ax^(2) + bx + c lt AA x in R, if a gt 0`
But, given
a + c `lt ` b
or ` a - b + c 0 or f (-1) lt 0`
`rArr f(x) = ax^(2) + bx + c lt 0 AA x in R`
`rArr f(-2) = 4a - 2b + c lt 0`
`rArr 4a + c lt 2b` .
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