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If a gt 0 and b^(2) - 4 ac = 0 then solv...

If `a gt 0 and b^(2) - 4 ac = 0` then solve `ax^(3) + (a + b) x^(2) + (b + c) x + c gt 0` .

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We have,
`ax^(3) + (a + b)x^(2) + (b + c ) x + c gt 0`
`rArr ax^(2) (x+1) + bx (x+1) + c (x + 1) gt 0`
`rArr (x + 1) (ax^(2) + bx + c ) gt 0`
`implies a(x+1)(x+b/(2a))^2gt0` as `b^2-4ac=0`
`rArr x gt -1 and x ne - (b)/(2a)`
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