If exactly one root of 5x^2+(a+1)x+a=0 l...

If exactly one root of `5x^2+(a+1)x+a=0` lies in the inteval (1,3),prove that `-12ltalt-3.`

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`rArrf(1) cdotf(3)lt0`
`rArr(6+2a)(4a+48)lt 0`
`rArr(a+3)(a+12)lt 0`
`rArr-12ltalt-` 3`

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