If roots of ax 2 -bx-c-0- a- 0 a-b-c - R are imaginary and a-c- b- then 4 a-c -sb - Find s-

If the roots of the equation ax^2+bx+c=0 are imaginary, nbsp;then f( 1)f( 2) gt;0 ⇒ (a b+c)(4a 2b+c) gt;0 Since, a+c Therefore, ...

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Nature of Roots

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Question

if roots of ${a x}^{2} + b x + c = 0, a \neq 0 (a, b, c ϵ R)$ are imaginary and $a + c < b$ , then $4 a + c < (s) b$ . Find $s$ .

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